HCF Word Problems with Answers: Practice Questions
- Vaishnavi has 48 red pencils and 72 blue pencils. She wants to make identical groups using all the pencils. What is the greatest number of groups she can make?
Answer: 24 - A shopkeeper has 84 apples and 126 oranges. He wants to pack them into identical baskets with the same number of apples and oranges in each basket. What is the greatest number of baskets he can make?
Answer: 42 - Three ribbons are 96 cm, 144 cm, and 192 cm long. They need to be cut into equal pieces of the greatest possible length. What will be the length of each piece?
Answer: 48 cm - A teacher has 60 notebooks, 90 pencils, and 120 erasers. She wants to distribute them equally among the greatest possible number of students. How many students can receive them?
Answer: 30 - Two ropes are 108 m and 180 m long. They are to be cut into pieces of equal maximum length. Find the greatest possible length of each piece.
Answer: 36 m - A farmer has 72 kg of rice, 108 kg of wheat, and 144 kg of flour. He wants to pack them into bags of equal maximum weight. What is the greatest weight of each bag?
Answer: 36 kg - There are 96 boys and 128 girls in a school event. They need to be divided into the greatest possible number of equal groups, with the same number of boys and girls in every group. How many groups can be formed?
Answer: 32 - A florist has 75 roses, 100 lilies, and 125 tulips. She wants to make identical flower arrangements using all the flowers. What is the greatest number of arrangements she can make?
Answer: 25 - Three wooden sticks are 84 cm, 126 cm, and 210 cm long. They are cut into pieces of the same greatest possible length. Find the length of each piece.
Answer: 42 cm - A bakery has 120 chocolate cookies, 180 vanilla cookies, and 240 butter cookies. The cookies are packed into identical boxes with no cookies left over. What is the greatest number of boxes possible?
Answer: 60 - A school has 144 red flags, 192 blue flags, and 240 green flags. They want to make identical sets using all the flags. What is the greatest number of sets they can make?
Answer: 48 - A gardener has 90 red flowers, 135 yellow flowers, and 180 white flowers. He wants to make identical bouquets using all the flowers. What is the greatest number of bouquets possible?
Answer: 45 - Three metal wires are 105 cm, 140 cm, and 175 cm long. They need to be cut into equal pieces of the greatest possible length. Find the length of each piece.
Answer: 35 cm - A library has 168 storybooks, 224 science books, and 280 mathematics books. The librarian wants to distribute them equally among the greatest possible number of shelves. How many shelves are needed?
Answer: 56 - A fruit seller has 108 bananas, 162 apples, and 216 oranges. He wants to make identical fruit baskets using all the fruits. What is the greatest number of baskets he can make?
Answer: 54 - A school has 126 boys, 189 girls, and 252 students in three activity groups. They want to form the greatest possible number of identical groups. How many groups can be formed?
Answer: 63 - Three pieces of cloth are 150 cm, 225 cm, and 300 cm long. They are to be cut into equal pieces of the greatest possible length. Find the length of each piece.
Answer: 75 cm - A warehouse contains 180 kg of sugar, 270 kg of rice, and 360 kg of flour. These are to be packed into bags of equal maximum weight. What is the greatest weight of each bag?
Answer: 90 kg - Vaishnavi has 156 stickers, 234 cards, and 312 badges. She wants to distribute them equally among the greatest possible number of children. How many children can receive them?
Answer: 78 - A school has 180 red balloons, 240 yellow balloons, and 300 blue balloons. The balloons are to be divided into identical groups with no balloons left over. What is the greatest number of groups possible?
Answer: 60 - A teacher has 72 storybooks and 108 drawing books. She wants to make identical sets using all the books. What is the greatest number of sets she can make?
Answer: 36 - A farmer has 96 kg wheat and 144 kg rice. He wants to pack both into bags of equal maximum weight. What is the greatest weight of each bag?
Answer: 48 kg - Three ropes are 80 m, 120 m and 160 m long. They are cut into equal pieces of the greatest possible length. Find the length of each piece.
Answer: 40 m - A shopkeeper has 63 red pens, 84 blue pens and 105 black pens. He wants to make identical packets using all the pens. What is the greatest number of packets possible?
Answer: 21 - A school has 72 boys and 120 girls. They are to be divided into the greatest possible number of groups, with the same number of boys and girls in each group. How many groups can be formed?
Answer: 24 - Three ribbons are 90 cm, 135 cm and 180 cm long. They are cut into equal pieces of maximum possible length. What is the length of each piece?
Answer: 45 cm - A fruit seller has 120 apples, 180 oranges and 300 bananas. He wants to make identical baskets using all the fruits. What is the greatest number of baskets he can make?
Answer: 60 - A library has 105 English books, 140 Hindi books and 175 Science books. The books are to be arranged into identical sets. What is the greatest number of sets possible?
Answer: 35 - Two wires are 126 cm and 210 cm long. They are cut into equal pieces of the greatest possible length. Find the length of each piece.
Answer: 42 cm - A florist has 96 roses, 144 lilies and 192 tulips. She wants to make identical bouquets using all the flowers. What is the greatest number of bouquets?
Answer: 48 - 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 - A school has 84 notebooks, 126 pencils and 210 erasers. They are to be distributed equally into identical sets. What is the greatest number of sets possible?
Answer: 42 - When 156, 216 and 276 are divided by the greatest possible number, they leave a remainder of 6 in each case. Find the greatest possible number.
Answer: 60 - A farmer has 81 kg rice, 108 kg wheat and 135 kg maize. He wants to pack them into bags of equal maximum weight. What is the greatest weight of each bag?
Answer: 27 kg - Three sticks are 72 cm, 108 cm and 180 cm long. They are cut into pieces of equal maximum length. Find the length of each piece.
Answer: 36 cm - When 137, 197 and 257 are divided by the greatest possible number, they leave a remainder of 7 in each case. Find the greatest possible number.
Answer: 60 - A shopkeeper has 96 biscuits, 144 chocolates and 192 candies. He wants to make identical packets. What is the greatest number of packets he can make?
Answer: 48 - A school has 100 red flags, 150 blue flags and 200 green flags. They are divided into identical groups with no flags left over. What is the greatest number of groups?
Answer: 50 - When 168, 228 and 288 are divided by the greatest possible number, they leave a remainder of 8 in each case. Find the greatest possible number.
Answer: 60 - A farmer has 120 kg rice, 180 kg wheat and 240 kg maize. He wants to pack them into bags of equal maximum weight. What is the greatest weight of each bag?
Answer: 60 kg - A teacher has 88 notebooks and 132 pencils. She wants to make identical sets using all the items. What is the greatest number of sets she can make?
Answer: 44 - Three ropes are 105 m, 140 m and 210 m long. They are cut into pieces of equal greatest possible length. Find the length of each piece.
Answer: 35 m - A fruit seller has 90 apples, 120 oranges and 150 mangoes. He wants to make identical baskets. What is the greatest number of baskets possible?
Answer: 30 - When 127, 188 and 249 are divided by the greatest possible number, they leave remainders 7, 8 and 9 respectively. Find the greatest possible number.
Answer: 61 - A school has 108 boys, 144 girls and 180 teachers for an event. They want to form identical groups. What is the greatest number of groups possible?
Answer: 36 - Three pieces of wire are 96 cm, 144 cm and 240 cm long. They are cut into equal pieces of greatest possible length. Find the length of each piece.
Answer: 48 cm - A bakery has 75 chocolate cakes, 100 vanilla cakes and 125 fruit cakes. They are packed into identical boxes. What is the greatest number of boxes possible?
Answer: 25 - When 145, 206 and 267 are divided by the greatest possible number, they leave remainders 5, 6 and 7 respectively. Find the greatest possible number.
Answer: 61 - A farmer has 108 kg rice, 162 kg wheat and 270 kg maize. He wants to make bags of equal maximum weight. What is the greatest weight of each bag?
Answer: 54 kg - A library has 120 storybooks, 180 science books and 300 mathematics books. They are to be arranged into identical sets. What is the greatest number of sets possible?
Answer: 60 - When 157, 218 and 279 are divided by the greatest possible number, they leave remainders 7, 8 and 9 respectively. Find the greatest possible number.
Answer: 61 - A gardener has 72 red flowers, 108 yellow flowers and 144 white flowers. He wants to make identical bouquets. What is the greatest number of bouquets possible?
Answer: 36 - Two ropes are 120 m and 168 m long. They are cut into equal pieces of maximum possible length. Find the length of each piece.
Answer: 24 m - When 186, 247 and 308 are divided by the greatest possible number, they leave remainders 6, 7 and 8 respectively. Find the greatest possible number.
Answer: 61 - A shopkeeper has 84 pencils, 126 notebooks and 168 erasers. He wants to make identical stationery sets. What is the greatest number of sets possible?
Answer: 42 - Three wooden sticks are 100 cm, 150 cm and 250 cm long. They are cut into equal pieces of greatest possible length. Find the length of each piece.
Answer: 50 cm - When 125, 185 and 245 are divided by the greatest possible number, the same remainder is left in each case. Find the greatest possible number.
Answer: 60 - A school has 72 red balloons, 108 blue balloons and 180 yellow balloons. They are divided into identical groups. What is the greatest number of groups possible?
Answer: 36 - A farmer has 96 kg rice, 144 kg wheat and 192 kg maize. What is the greatest possible weight of each equal bag?
Answer: 48 kg - When 187, 247 and 307 are divided by the greatest possible number, the same remainder is left in each case. Find the greatest possible number.
Answer: 60 - A florist has 80 roses, 120 lilies and 200 tulips. She wants to make identical arrangements using all the flowers. What is the greatest number of arrangements?
Answer: 40 - A teacher has 105 notebooks, 140 pencils and 175 erasers. She wants to distribute them equally among the greatest possible number of students. How many students can receive them?
Answer: 35 - When 224, 284 and 344 are divided by the greatest possible number, the same remainder is left in each case. Find the greatest possible number.
Answer: 60 - Three ribbons are 108 cm, 162 cm and 216 cm long. They need to be cut into equal pieces of maximum possible length. Find the length of each piece.
Answer: 54 cm - A fruit seller has 126 apples, 189 oranges and 252 bananas. He wants to make identical baskets. What is the greatest number of baskets possible?
Answer: 63 - When 315, 405 and 495 are divided by the greatest possible number, the same remainder is left in each case. Find the greatest possible number.
Answer: 90 - A warehouse has 128 kg sugar, 192 kg rice and 320 kg flour. They are to be packed into bags of equal maximum weight. Find the greatest weight of each bag.
Answer: 64 kg - When 172, 232 and 292 are divided by the greatest possible number, the same remainder is left each time. Find the greatest possible number.
Answer: 60 - A school has 96 red flags, 144 blue flags and 192 green flags. They want to make identical sets using all the flags. What is the greatest number of sets?
Answer: 48 - Three wires are 90 cm, 135 cm and 225 cm long. They are cut into equal pieces of maximum possible length. Find the length of each piece.
Answer: 45 cm - When 245, 335 and 425 are divided by the greatest possible number, the same remainder is left in each case. Find the greatest possible number.
Answer: 90 - A farmer has 75 kg wheat, 100 kg rice and 125 kg maize. He wants to pack them into bags of equal maximum weight. What is the greatest weight of each bag?
Answer: 25 kg - A school has 144 boys, 192 girls and 240 students in three clubs. They want to form identical groups. What is the greatest number of groups possible?
Answer: 48 - When 318, 408 and 498 are divided by the greatest possible number, the same remainder is left in each case. Find the greatest possible number.
Answer: 90 - A library has 72 storybooks, 120 science books and 168 mathematics books. The books are to be arranged into identical sets. What is the greatest number of sets?
Answer: 24 - When 127, 188 and 249 are divided by the greatest possible number, they leave remainders 7, 8 and 9 respectively. Find the greatest possible number.
Answer: 61 - A shopkeeper has 90 red packets, 135 blue packets and 180 green packets. He wants to arrange them into identical groups. What is the greatest number of groups?
Answer: 45 - Three ropes are 84 m, 126 m and 210 m long. They are cut into pieces of equal maximum length. Find the length of each piece.
Answer: 42 m - 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 - A florist has 105 roses, 140 lilies and 175 tulips. She wants to make identical bouquets using all the flowers. What is the greatest number of bouquets?
Answer: 35 - A farmer has 150 kg rice, 225 kg wheat and 300 kg maize. He wants to pack them into bags of equal maximum weight. Find the greatest weight of each bag.
Answer: 75 kg - When 184, 244 and 304 are divided by the greatest possible number, the same remainder is left in each case. Find the greatest possible number.
Answer: 60 - A teacher has 126 notebooks, 189 pencils and 252 erasers. She wants to make identical sets. What is the greatest number of sets possible?
Answer: 63 - When 157, 219 and 281 are divided by the greatest possible number, they leave remainders 7, 9 and 11 respectively. Find the greatest possible number.
Answer: 62 - Three pieces of cloth are 120 cm, 180 cm and 240 cm long. They are cut into equal pieces of greatest possible length. Find the length of each piece.
Answer: 60 cm - A school has 81 red balls, 108 blue balls and 135 green balls. They want to divide them into identical groups. What is the greatest number of groups possible?
Answer: 27 - When 265, 325 and 385 are divided by the greatest possible number, they leave a remainder of 5 in each case. Find the greatest possible number.
Answer: 60 - A fruit seller has 80 apples, 120 oranges and 160 mangoes. He wants to make identical baskets using all the fruits. What is the greatest number of baskets?
Answer: 40 - When 314, 374 and 434 are divided by the greatest possible number, the same remainder is left in each case. Find the greatest possible number.
Answer: 60 - A warehouse has 105 kg sugar, 175 kg rice and 245 kg flour. They are to be packed into bags of equal maximum weight. Find the greatest weight of each bag.
Answer: 35 kg - A school has 120 red flags, 180 blue flags and 240 green flags. They are to be divided into identical groups. What is the greatest number of groups possible?
Answer: 60 - When 176, 238 and 300 are divided by the greatest possible number, they leave remainders 6, 8 and 10 respectively. Find the greatest possible number.
Answer: 62 - Three wooden sticks are 96 cm, 144 cm and 240 cm long. They are cut into equal pieces of greatest possible length. Find the length of each piece.
Answer: 48 cm