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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 422 · 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 102 and 119 =
  2. 2.HCF of 48 and 120 =
  3. 3.HCF of 306 and 252 =
  4. 4.HCF of 63 and 105 =
  5. 5.HCF of 418 and 352 =
  6. 6.HCF of 80 and 95 =
  7. 7.HCF of 35 and 45 =
  8. 8.HCF of 104 and 88 =
  9. 9.HCF of 320 and 220 =
  10. 10.HCF of 42 and 12 =
  11. 11.HCF of 78 and 42 =
  12. 12.HCF of 15 and 10 =
  13. 13.HCF of 104 and 91 =
  14. 14.HCF of 200 and 140 =
  15. 15.HCF of 399 and 336 =
  16. 16.HCF of 68 and 64 =
  17. 17.HCF of 96 and 36 =
  18. 18.HCF of 6 and 57 =
  19. 19.HCF of 48 and 408 =
  20. 20.HCF of 20 and 72 =
  21. 21.HCF of 70 and 40 =
  22. 22.HCF of 27 and 48 =
  23. 23.HCF of 66 and 72 =
  24. 24.HCF of 68 and 187 =
  25. 25.HCF of 112 and 49 =
  26. 26.HCF of 176 and 288 =
  27. 27.HCF of 120 and 56 =
  28. 28.HCF of 357 and 210 =
  29. 29.HCF of 154 and 396 =
  30. 30.HCF of 64 and 68 =
  31. 31.HCF of 456 and 48 =
  32. 32.HCF of 44 and 374 =
  33. 33.HCF of 90 and 54 =
  34. 34.HCF of 126 and 238 =
  35. 35.HCF of 22 and 99 =
  36. 36.HCF of 325 and 100 =
  37. 37.HCF of 252 and 147 =
  38. 38.HCF of 154 and 56 =
  39. 39.HCF of 75 and 255 =
  40. 40.HCF of 12 and 78 =

Answer key

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

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