1. Four friends have 72, 90, 108, and 126 pencils. They want to pack them in equal groups. What is the greatest number of pencils each group can have?

Answer: 18 pencils

2. A school has 84, 126, 168, and 210 chairs. They want to arrange them into the maximum number of equal rows with no extra chairs. How many chairs will be in each row?

Answer: 42 chairs

3. A shopkeeper has 96, 120, 144, and 168 notebooks. He wants to make equal bundles with no notebooks left over. What is the greatest number of notebooks in each bundle?

Answer: 24 notebooks

4. Four classes have 75, 105, 135, and 165 students. They want to form equal-sized groups. What is the greatest number of students in each group?

Answer: 15 students

5. A teacher has 88, 132, 176, and 220 crayons. She wants to distribute them into equal sets with none left over. What is the greatest number of crayons in each set?

Answer: 44 crayons

6. A warehouse has 108, 144, 180, and 216 boxes. The boxes are to be arranged in equal stacks with no boxes left over. What is the greatest number of boxes in each stack?

Answer: 36 boxes

7. Four teams have 63, 84, 105, and 126 players. They want to divide the players into equal groups. What is the greatest number of players in each group?

Answer: 21 players

8. A library has 120, 150, 180, and 210 books. The books are packed into equal-sized boxes with no books left over. What is the greatest number of books in each box?

Answer: 30 books

9. A stationery shop has 90, 135, 180, and 225 erasers. The erasers are to be packed equally. What is the greatest number of erasers in each packet?

Answer: 45 erasers

10. Four baskets contain 64, 96, 128, and 160 apples. The apples are to be placed into equal groups with no apples left over. What is the greatest number of apples in each group?

Answer: 32 apples

11. A school has 105, 140, 175, and 210 notebooks. They want to arrange them into equal piles with no notebooks left over. What is the greatest number of notebooks in each pile?

Answer: 35 notebooks

12. Four shops have 72, 108, 144, and 180 water bottles. They want to pack the bottles into equal cartons. What is the greatest number of bottles each carton can contain?

Answer: 36 bottles

13. A farmer has 81, 108, 135, and 162 mangoes. He wants to pack them into equal baskets with no mangoes left over. What is the greatest number of mangoes in each basket?

Answer: 27 mangoes

14. A school has 112, 140, 168, and 196 desks. They want to arrange the desks into equal rows with no desks left over. How many desks can be placed in each row at most?

Answer: 28 desks

15. Four children have 78, 104, 130, and 156 marbles. They want to divide the marbles into equal groups with no marbles left over. What is the greatest number of marbles in each group?

Answer: 26 marbles

16. Three numbers 259, 734, and 859 leave the same remainder when divided by a certain number. Find the greatest number.
    Answer: 25
17. When 403, 1008, and 2053 are divided by a number, they leave a remainder 18. Find the greatest number.
    Answer: 55
18. Three numbers 1157, 833, and 563 leave the same remainder when divided by a certain number. Find the greatest number.
    Answer: 54
19. When 1618, 1420, and 2311 are divided by a number, they leave a remainder 34. Find the greatest number.
    Answer: 99
20. Three numbers 1176, 632, and 504 leave the same remainder when divided by a certain number. Find the greatest number.
    Answer: 32
21. When 918, 1278, and 1318 are divided by a number, they leave a remainder 38. Find the greatest number.
    Answer: 40
22. Three numbers 444, 387, and 121 leave the same remainder when divided by a certain number. Find the greatest number.
    Answer: 19
23. When 462, 616, and 294 are divided by a number, they leave a remainder 0. Find the greatest number.
    Answer: 14
24. Three numbers 2374, 1802, and 2530 leave the same remainder when divided by a certain number. Find the greatest number.
    Answer: 52
25. When 1513, 521, and 265 are divided by a number, they leave a remainder 9. Find the greatest number.
    Answer: 32
26. Three numbers 1728, 1260, and 831 leave the same remainder when divided by a certain number. Find the greatest number.
    Answer: 39
27. When 662, 872, and 515 are divided by a number, they leave a remainder 11. Find the greatest number.
    Answer: 21
28. Three numbers 1609, 685, and 487 leave the same remainder when divided by a certain number. Find the greatest number.
    Answer: 66
29. When 154, 182, and 742 are divided by a number, they leave a remainder 14. Find the greatest number.
    Answer: 28
30. Three numbers 181, 197, and 109 leave the same remainder when divided by a certain number. Find the greatest number.
    Answer: 8
31. When 943, 1636, and 2581 are divided by a number, they leave a remainder 61. Find the greatest number.
    Answer: 63
32. Three numbers 44, 233, and 100 leave the same remainder when divided by a certain number. Find the greatest number.
    Answer: 7
33. When 949, 1189, and 325 are divided by a number, they leave a remainder 37. Find the greatest number.
    Answer: 48
34. Three numbers 489, 729, and 265 leave the same remainder when divided by a certain number. Find the greatest number.
    Answer: 16
35. When 867, 1452, and 1362 are divided by a number, they leave a remainder 12. Find the greatest number.
    Answer: 45
36. When 84, 132 and 180 are divided by the greatest possible number, they leave a remainder of 12 in each case. Find the greatest possible number.
    Answer: 48
37. When 95, 155 and 215 are divided by the greatest possible number, they leave a remainder of 5 in each case. Find the greatest possible number.
    Answer: 60
38. A farmer has 72 kg rice, 120 kg wheat and 168 kg maize. He wants to pack them into bags of equal maximum weight. Find the greatest possible weight of each bag.
    Answer: 24 kg
39. When 101, 143 and 185 are divided by the greatest possible number, the same remainder is left in each case. Find the greatest possible number.
    Answer: 42
40. A shopkeeper has 90 apples, 150 oranges and 210 mangoes. He wants to make identical baskets using all the fruits. Find the greatest possible number of baskets.
    Answer: 30
41. When 126, 186 and 246 are divided by the greatest possible number, they leave a remainder of 6 in each case. Find the greatest possible number.
    Answer: 60
42. Three ropes are 96 m, 144 m and 192 m long. They are cut into pieces of equal maximum length. Find the length of each piece.
    Answer: 48 m
43. When 77, 119 and 161 are divided by the greatest possible number, the same remainder is left each time. Find the greatest possible number.
    Answer: 42
44. A school has 108 red pencils, 162 blue pencils and 216 green pencils. They are packed into identical packets with no pencils left over. Find the greatest possible number of packets.
    Answer: 54
45. When 115, 175 and 235 are divided by the greatest possible number, they leave a remainder of 5 in each case. Find the greatest possible number.
    Answer: 60
46. A florist has 84 roses, 126 lilies and 210 tulips. She wants to make the greatest possible number of identical bouquets. Find the number of bouquets.
    Answer: 42
47. When 68, 92 and 116 are divided by the greatest possible number, the same remainder is left in each case. Find the greatest possible number.
    Answer: 24
48. When 105, 165 and 225 are divided by the greatest possible number, they leave a remainder of 15 in each case. Find the greatest possible number.
    Answer: 60
49. A library has 96 storybooks, 144 science books and 192 mathematics books. The books are arranged into identical sets with none left over. Find the greatest possible number of sets.
    Answer: 48
50. When 91, 133 and 175 are divided by the greatest possible number, the same remainder is left each time. Find the greatest possible number.
    Answer: 42
51. A farmer has 105 kg wheat, 140 kg rice and 175 kg maize. He wants bags of equal maximum weight. Find the greatest possible weight of each bag.
    Answer: 35 kg
52. When 128, 188 and 248 are divided by the greatest possible number, they leave a remainder of 8 in each case. Find the greatest possible number.
    Answer: 60
53. A teacher has 72 notebooks, 108 pencils and 144 erasers. She wants to make identical sets using all the items. Find the greatest possible number of sets.
    Answer: 36
54. When 73, 109 and 145 are divided by the greatest possible number, the same remainder is left each time. Find the greatest possible number.
    Answer: 36
55. Three ribbons are 75 cm, 125 cm and 175 cm long. They are cut into equal pieces of maximum length. Find the length of each piece.
    Answer: 25 cm
56. When 87, 129 and 171 are divided by the greatest possible number, the same remainder is left each time. Find the greatest possible number.
    Answer: 42
57. A warehouse has 96 kg rice, 144 kg wheat and 240 kg barley. Find the greatest possible weight of each equal bag.
    Answer: 48 kg
58. When 135, 195 and 255 are divided by the greatest possible number, they leave a remainder of 15 in each case. Find the greatest possible number.
    Answer: 60
59. A fruit seller has 75 apples, 125 oranges and 175 mangoes. He wants to make identical baskets using all the fruits. Find the greatest possible number of baskets.
    Answer: 25
60. When 110, 146 and 182 are divided by the greatest possible number, the same remainder is left each time. Find the greatest possible number.
    Answer: 36
61. Three wires are 80 cm, 120 cm and 200 cm long. They are cut into pieces of equal maximum length. Find the length of each piece.
    Answer: 40 cm
62. When 98, 146 and 194 are divided by the greatest possible number, they leave a remainder of 2 in each case. Find the greatest possible number.
    Answer: 48
63. A school has 81 red balls, 108 blue balls and 135 green balls. They are divided into identical groups with no balls left over. Find the greatest possible number of groups.
    Answer: 27
64. When 107, 149 and 191 are divided by the greatest possible number, the same remainder is left each time. Find the greatest possible number.
    Answer: 42
65. A farmer has 90 kg rice, 135 kg wheat and 180 kg maize. Find the greatest possible weight of each equal bag.
    Answer: 45 kg
66. When 125, 185 and 245 are divided by the greatest possible number, they leave a remainder of 5 in each case. Find the greatest possible number.
    Answer: 60
67. A shopkeeper has 80 red pens, 120 blue pens and 160 black pens. He wants to make identical packets with no pens left over. Find the greatest possible number of packets.
    Answer: 40
68. When 76, 112 and 148 are divided by the greatest possible number, the same remainder is left each time. Find the greatest possible number.
    Answer: 36
69. Three wooden planks are 84 cm, 126 cm and 210 cm long. They are cut into equal pieces of maximum length. Find the length of each piece.
    Answer: 42 cm
70. When 145, 205 and 265 are divided by the greatest possible number, they leave a remainder of 5 in each case. Find the greatest possible number.
    Answer: 60
71. A school has 96 red flags, 144 blue flags and 240 green flags. Find the greatest possible number of identical groups that can be made.
    Answer: 48
72. When 89, 125 and 161 are divided by the greatest possible number, the same remainder is left each time. Find the greatest possible number.
    Answer: 36
73. A fruit seller has 108 apples, 162 oranges and 270 bananas. He wants to make identical baskets using all the fruits. Find the greatest possible number of baskets.
    Answer: 54
74. When 155, 215 and 275 are divided by the greatest possible number, they leave a remainder of 5 in each case. Find the greatest possible number.
    Answer: 60
75. A teacher has 64 storybooks, 96 activity books and 128 drawing books. She wants to make identical sets. Find the greatest possible number of sets.
    Answer: 32
76. When 95, 137 and 179 are divided by the greatest possible number, the same remainder is left each time. Find the greatest possible number.
    Answer: 42
77. A farmer has 84 kg pulses, 126 kg rice and 210 kg wheat. Find the greatest possible weight of each equal bag.
    Answer: 42 kg
78. When 116, 170 and 224 are divided by the greatest possible number, the same remainder is left each time. Find the greatest possible number.
    Answer: 54
79. Three ropes are 108 m, 162 m and 216 m long. They are cut into equal pieces of maximum length. Find the length of each piece.
    Answer: 54 m
80. When 165, 225 and 285 are divided by the greatest possible number, they leave a remainder of 15 in each case. Find the greatest possible number.
    Answer: 60
81. A library has 120 English books, 180 Hindi books and 240 Science books. Find the greatest possible number of identical sets.
    Answer: 60
82. When 83, 119 and 155 are divided by the greatest possible number, the same remainder is left each time. Find the greatest possible number.
    Answer: 36
83. A florist has 72 roses, 108 lilies and 180 marigolds. She wants to make identical bouquets. Find the greatest possible number of bouquets.
    Answer: 36
84. When 97, 133 and 169 are divided by the greatest possible number, the same remainder is left each time. Find the greatest possible number.
    Answer: 36
85. Three pieces of cloth are 90 m, 135 m and 225 m long. They are cut into equal pieces of maximum length. Find the length of each piece.
    Answer: 45 m
86. When 118, 172 and 226 are divided by the greatest possible number, the same remainder is left each time. Find the greatest possible number.
    Answer: 54
87. A shopkeeper has 105 biscuits, 140 chocolates and 175 candies. He wants to make identical packets using all the items. Find the greatest possible number of packets.
    Answer: 35
88. When 144, 204 and 264 are divided by the greatest possible number, they leave a remainder of 24 in each case. Find the greatest possible number.
    Answer: 60
89. A farmer has 128 kg wheat, 192 kg rice and 320 kg maize. Find the greatest possible weight of each equal bag.
    Answer: 64 kg
90. When 99, 135 and 171 are divided by the greatest possible number, the same remainder is left each time. Find the greatest possible number.
    Answer: 36
91. Three sticks are 96 cm, 144 cm and 192 cm long. They are cut into equal pieces of maximum length. Find the length of each piece.
    Answer: 48 cm
92. When 175, 265 and 355 are divided by the greatest possible number, they leave a remainder of 5 in each case. Find the greatest possible number.
    Answer: 90
93. A school has 90 red pencils, 135 blue pencils and 180 green pencils. Find the greatest possible number of identical packets.
    Answer: 45
94. When 121, 163 and 205 are divided by the greatest possible number, the same remainder is left each time. Find the greatest possible number.
    Answer: 42
95. A farmer has 72 kg rice, 120 kg wheat and 168 kg maize. Find the greatest possible weight of each equal bag.
    Answer: 24 kg
96. When 132, 168 and 204 are divided by the greatest possible number, the same remainder is left each time. Find the greatest possible number.
    Answer: 36
97. A library has 126 storybooks, 189 science books and 252 mathematics books. Find the greatest possible number of identical sets.
    Answer: 63
98. When 155, 215 and 275 are divided by the greatest possible number, they leave a remainder of 15 in each case. Find the greatest possible number.
    Answer: 60
99. Three wires are 105 cm, 140 cm and 175 cm long. Find the greatest possible length of equal pieces into which they can be cut.
    Answer: 35 cm
100. When 74, 110 and 146 are divided by the greatest possible number, the same remainder is left each time. Find the greatest possible number.
     Answer: 36
101. A shopkeeper has 96 biscuits, 144 chocolates and 240 candies. Find the greatest possible number of identical packets he can make.
     Answer: 48
102. When 128, 188 and 248 are divided by the greatest possible number, they leave a remainder of 8 in each case. Find the greatest possible number.
     Answer: 60
103. A school has 84 notebooks, 126 pencils and 210 erasers. Find the greatest possible number of identical sets.
     Answer: 42
104. When 106, 148 and 190 are divided by the greatest possible number, the same remainder is left each time. Find the greatest possible number.
     Answer: 42
105. A farmer has 98 kg rice, 147 kg wheat and 245 kg maize. Find the greatest possible weight of each equal bag.
     Answer: 49 kg
106. When 185, 245 and 305 are divided by the greatest possible number, they leave a remainder of 5 in each case. Find the greatest possible number.
     Answer: 60
107. Three ribbons are 72 cm, 108 cm and 180 cm long. Find the greatest possible length of each equal piece.
     Answer: 36 cm
108. When 113, 155 and 197 are divided by the greatest possible number, the same remainder is left each time. Find the greatest possible number.
     Answer: 42
109. A fruit seller has 96 apples, 144 oranges and 192 mangoes. Find the greatest possible number of identical baskets.
     Answer: 48
110. When 135, 195 and 255 are divided by the greatest possible number, they leave a remainder of 15 in each case. Find the greatest possible number.
     Answer: 60
111. A warehouse has 112 kg rice, 168 kg wheat and 224 kg maize. Find the greatest possible weight of each equal bag.
     Answer: 56 kg
112. When 86, 122 and 158 are divided by the greatest possible number, the same remainder is left each time. Find the greatest possible number.
     Answer: 36
113. A teacher has 100 notebooks, 150 pencils and 250 erasers. Find the greatest possible number of identical sets she can make.
     Answer: 50
114. When 147, 189 and 231 are divided by the greatest possible number, the same remainder is left each time. Find the greatest possible number.
     Answer: 42
115. Three ropes are 120 m, 180 m and 240 m long. They are cut into equal pieces of maximum possible length. Find the length of each piece.
     Answer: 60 m
116. When 165, 225 and 285 are divided by the greatest possible number, they leave a remainder of 15 in each case. Find the greatest possible number.
     Answer: 60
117. A school has 108 red balls, 162 blue balls and 270 green balls. Find the greatest possible number of identical groups.
     Answer: 54
118. When 127, 163 and 199 are divided by the greatest possible number, the same remainder is left each time. Find the greatest possible number.
     Answer: 36
119. A farmer has 80 kg wheat, 120 kg rice and 200 kg maize. Find the greatest possible weight of each equal bag.
     Answer: 40 kg
120. When 105, 147 and 189 are divided by the greatest possible number, the same remainder is left each time. Find the greatest possible number.
     Answer: 42
121. A library has 144 English books, 216 Hindi books and 288 Science books. Find the greatest possible number of identical sets.
     Answer: 72
122. When 195, 255 and 315 are divided by the greatest possible number, they leave a remainder of 15 in each case. Find the greatest possible number.
     Answer: 60
123. Three wooden sticks are 90 cm, 150 cm and 210 cm long. Find the greatest possible length of each equal piece.
     Answer: 30 cm
124. When 111, 153 and 195 are divided by the greatest possible number, the same remainder is left each time. Find the greatest possible number.
     Answer: 42
125. A shopkeeper has 120 red pens, 180 blue pens and 300 black pens. Find the greatest possible number of identical packets.
     Answer: 60
126. When 155, 215 and 275 are divided by the greatest possible number, they leave a remainder of 5 in each case. Find the greatest possible number.
     Answer: 60
127. A farmer has 126 kg rice, 189 kg wheat and 252 kg maize. Find the greatest possible weight of each equal bag.
     Answer: 63 kg
128. When 93, 135 and 177 are divided by the greatest possible number, the same remainder is left each time. Find the greatest possible number.
     Answer: 42
129. Three wires are 128 cm, 192 cm and 320 cm long. Find the greatest possible length of each equal piece.
     Answer: 64 cm
130. When 225, 285 and 345 are divided by the greatest possible number, they leave a remainder of 15 in each case. Find the greatest possible number.
     Answer: 60
131. Find the largest four-digit number which is exactly divisible by 14, 21, and 28.
     Answer: 9996
132. Find the largest four-digit number which is exactly divisible by 16, 20, and 24.
     Answer: 9840
133. Find the largest four-digit number which is exactly divisible by 18, 24, and 30.
     Answer: 9720
134. Find the largest four-digit number which is exactly divisible by 15, 18, and 27.
     Answer: 9990
135. Find the largest five-digit number which is exactly divisible by 24, 30, and 36.
     Answer: 99936
136. Find the largest five-digit number which is exactly divisible by 28, 35, and 42.
     Answer: 99960
137. Find the largest five-digit number which is exactly divisible by 18, 27, and 45.
     Answer: 99990
138. Find the largest five-digit number which is exactly divisible by 32, 40, and 48.
     Answer: 99840
139. Find the largest six-digit number which is exactly divisible by 36, 45, and 60.
     Answer: 999900
140. Find the largest six-digit number which is exactly divisible by 42, 56, and 70.
     Answer: 999600
141. Find the largest six-digit number which is exactly divisible by 48, 60, and 72.
     Answer: 999360
142. Find the largest four-digit number which is exactly divisible by 22, 33, and 44.
     Answer: 9900
143. Find the largest five-digit number which is exactly divisible by 45, 60, and 75.
     Answer: 99900
144. Find the largest six-digit number which is exactly divisible by 54, 72, and 90.
     Answer: 999540
145. Find the largest five-digit number which is exactly divisible by 35, 42, and 70.
     Answer: 99960