Practice Questions – Find Greatest Divisor, Same Remainder | Math Tricks

By /

Anshu

  1. When 187, 319, and 391 are divided by a number, they leave remainder 7. Find the greatest such number.
  2. Three numbers 308, 644, and 1000 leave the same remainder when divided by a certain number. Find the greatest number.
  3. A number divides 125 and 142, leaving remainders 5 and 7 respectively. Find the greatest number.
  4. When 234, 345, and 456 are divided by a number, they leave remainder 6. Find the greatest such number.
  5. Three numbers 180, 240, and 300 leave the same remainder when divided by a number. Find the greatest such number.
  6. A number divides 215 and 337, leaving remainders 15 and 37 respectively. Find the greatest number.
  7. When 102, 205, and 308 are divided by a number, they leave remainder 2. Find the greatest such number.
  8. Three numbers 420, 630, and 840 leave the same remainder when divided by a number. Find the greatest such number.
  9. A number divides 75 and 124, leaving remainders 5 and 14 respectively. Find the greatest number.
  10. When 450, 650, and 850 are divided by a number, they leave remainder 10. Find the greatest such number.
  11. Three numbers 525, 735, and 945 leave the same remainder when divided by a number. Find the greatest such number.
  12. A number divides 200 and 345, leaving remainders 20 and 65 respectively. Find the greatest number.
  13. When 135, 270, and 405 are divided by a number, they leave remainder 5. Find the greatest such number.
  14. Three numbers 512, 768, and 1024 leave the same remainder when divided by a number. Find the greatest such number.
  15. A number divides 325 and 540, leaving remainders 25 and 40 respectively. Find the greatest number.
  16. When 110, 220, and 330 are divided by a number, they leave remainder 10. Find the greatest such number.
  17. Three numbers 144, 180, and 216 leave the same remainder when divided by a number. Find the greatest such number.
  18. A number divides 98 and 203, leaving remainders 8 and 13 respectively. Find the greatest number.
  19. When 270, 540, and 810 are divided by a number, they leave remainder 30. Find the greatest such number.
  20. Three numbers 289, 435, and 581 leave the same remainder when divided by a number. Find the greatest such number.
  21. A number divides 156 and 312, leaving remainders 6 and 12 respectively. Find the greatest number.
  22. When 198, 396, and 594 are divided by a number, they leave remainder 18. Find the greatest such number.
  23. Three numbers 360, 480, and 600 leave the same remainder when divided by a number. Find the greatest such number.
  24. A number divides 125 and 255, leaving remainders 5 and 15 respectively. Find the greatest number.
  25. When 420, 630, and 840 are divided by a number, they leave remainder 30. Find the greatest such number.
  26. Three numbers 192, 256, and 320 leave the same remainder when divided by a number. Find the greatest such number.
  27. A number divides 110 and 215, leaving remainders 10 and 15 respectively. Find the greatest number.
  28. When 315, 630, and 945 are divided by a number, they leave remainder 45. Find the greatest such number.
  29. Three numbers 108, 216, and 324 leave the same remainder when divided by a number. Find the greatest such number.
  30. A number divides 210 and 455, leaving remainders 10 and 35 respectively. Find the greatest number.
  32. When 275, 385, and 495 are divided by a number, they leave remainder 5. Find the greatest such number.
  33. Three numbers 360, 720, and 1080 leave the same remainder when divided by a number. Find the maximum possible divisor.
  34. A number divides 190 and 355, leaving remainders 10 and 25 respectively. Find the largest number that divides the difference.
  35. When 525, 630, and 735 are divided by a number, they leave remainder 15. Find the greatest number possible.
  36. Three numbers 225, 375, and 525 leave the same remainder when divided by a number. Find the maximum common divisor.
  37. A number divides 256 and 514, leaving remainders 16 and 34 respectively. Find the largest possible divisor.
  38. When 128, 256, and 384 are divided by a number, they leave remainder 8. Find the greatest such number.
  39. Three numbers 144, 288, and 432 leave the same remainder when divided by a number. Find the maximum possible divisor.
  40. A number divides 1001 and 1455, leaving remainders 21 and 45 respectively. Find the largest number satisfying this.
  41. When 640, 960, and 1280 are divided by a number, they leave remainder 40. Find the greatest possible number.
  42. Three numbers 175, 350, and 525 leave the same remainder when divided by a number. Find the maximum common divisor.
  43. A number divides 275 and 500, leaving remainders 25 and 50 respectively. Find the largest such number.
  44. When 486, 972, and 1458 are divided by a number, they leave remainder 18. Find the greatest such number.
  45. Three numbers 210, 420, and 630 leave the same remainder when divided by a number. Find the maximum possible divisor.
  46. A number divides 320 and 560, leaving remainders 20 and 40 respectively. Find the largest number possible.
  47. When 840, 1260, and 1680 are divided by a number, they leave remainder 60. Find the greatest such number.
  48. Three numbers 117, 234, and 351 leave the same remainder when divided by a number. Find the maximum common divisor.
  49. A number divides 275 and 505, leaving remainders 25 and 55 respectively. Find the largest possible divisor.
  50. When 567, 1134, and 1701 are divided by a number, they leave remainder 27. Find the greatest number that divides the differences.
  51. Three numbers 320, 480, and 640 leave the same remainder when divided by a number. Find the maximum possible divisor.
  52. A number divides 225 and 405, leaving remainders 15 and 35 respectively. Find the largest such number.
  53. When 900, 1200, and 1500 are divided by a number, they leave remainder 100. Find the greatest such number.
  54. Three numbers 176, 352, and 528 leave the same remainder when divided by a number. Find the maximum common divisor.
  55. A number divides 275 and 325, leaving remainders 25 and 75 respectively. Find the largest possible divisor.
  56. When 432, 864, and 1296 are divided by a number, they leave remainder 36. Find the greatest such number.
  57. Three numbers 510, 1020, and 1530 leave the same remainder when divided by a number. Find the maximum common divisor.
  58. A number divides 385 and 550, leaving remainders 35 and 50 respectively. Find the largest possible number.
  59. When 270, 540, and 810 are divided by a number, they leave remainder 30. Find the greatest such number.
  60. Three numbers 132, 264, and 396 leave the same remainder when divided by a number. Find the maximum possible divisor.
  61. A number divides 540 and 810, leaving remainders 60 and 90 respectively. Find the largest such number.

Leave a Comment

Your email address will not be published. Required fields are marked *

Scroll to Top