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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 501 · 40 sums
TalentJR

The trick (Sankalana-Vyavakalanabhyam): Take the smaller number away from the bigger one, as many times as it goes. Now use the smaller number and what is left. Repeat until nothing is left: the last number before 0 is the HCF.

NameDateTime takenScore ___ / 40
  1. 1.HCF of 96 and 312 =
  2. 2.HCF of 120 and 140 =
  3. 3.HCF of 210 and 45 =
  4. 4.HCF of 140 and 63 =
  5. 5.HCF of 60 and 70 =
  6. 6.HCF of 176 and 154 =
  7. 7.HCF of 154 and 121 =
  8. 8.HCF of 136 and 144 =
  9. 9.HCF of 418 and 374 =
  10. 10.HCF of 50 and 175 =
  11. 11.HCF of 56 and 52 =
  12. 12.HCF of 40 and 32 =
  13. 13.HCF of 32 and 28 =
  14. 14.HCF of 80 and 104 =
  15. 15.HCF of 15 and 100 =
  16. 16.HCF of 247 and 114 =
  17. 17.HCF of 418 and 66 =
  18. 18.HCF of 16 and 22 =
  19. 19.HCF of 136 and 88 =
  20. 20.HCF of 63 and 98 =
  21. 21.HCF of 20 and 26 =
  22. 22.HCF of 306 and 72 =
  23. 23.HCF of 270 and 36 =
  24. 24.HCF of 180 and 75 =
  25. 25.HCF of 112 and 64 =
  26. 26.HCF of 138 and 115 =
  27. 27.HCF of 105 and 119 =
  28. 28.HCF of 250 and 75 =
  29. 29.HCF of 42 and 96 =
  30. 30.HCF of 36 and 40 =
  31. 31.HCF of 234 and 36 =
  32. 32.HCF of 91 and 117 =
  33. 33.HCF of 171 and 361 =
  34. 34.HCF of 176 and 208 =
  35. 35.HCF of 56 and 64 =
  36. 36.HCF of 207 and 184 =
  37. 37.HCF of 88 and 198 =
  38. 38.HCF of 374 and 286 =
  39. 39.HCF of 475 and 500 =
  40. 40.HCF of 432 and 120 =

Answer key

  1. 24
  2. 20
  3. 15
  4. 7
  5. 10
  6. 22
  7. 11
  8. 8
  9. 22
  10. 25
  11. 4
  12. 8
  13. 4
  14. 8
  15. 5
  16. 19
  17. 22
  18. 2
  19. 8
  20. 7
  21. 2
  22. 18
  23. 18
  24. 15
  25. 16
  26. 23
  27. 7
  28. 25
  29. 6
  30. 4
  31. 18
  32. 13
  33. 19
  34. 16
  35. 8
  36. 23
  37. 22
  38. 22
  39. 25
  40. 24

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