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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 733 · 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 168 and 156 =
  2. 2.HCF of 180 and 200 =
  3. 3.HCF of 36 and 68 =
  4. 4.HCF of 72 and 408 =
  5. 5.HCF of 10 and 25 =
  6. 6.HCF of 8 and 76 =
  7. 7.HCF of 207 and 322 =
  8. 8.HCF of 132 and 72 =
  9. 9.HCF of 30 and 25 =
  10. 10.HCF of 460 and 437 =
  11. 11.HCF of 418 and 44 =
  12. 12.HCF of 144 and 272 =
  13. 13.HCF of 126 and 35 =
  14. 14.HCF of 115 and 414 =
  15. 15.HCF of 144 and 27 =
  16. 16.HCF of 25 and 65 =
  17. 17.HCF of 144 and 304 =
  18. 18.HCF of 64 and 144 =
  19. 19.HCF of 36 and 32 =
  20. 20.HCF of 25 and 65 =
  21. 21.HCF of 28 and 266 =
  22. 22.HCF of 189 and 294 =
  23. 23.HCF of 56 and 126 =
  24. 24.HCF of 247 and 342 =
  25. 25.HCF of 42 and 60 =
  26. 26.HCF of 64 and 68 =
  27. 27.HCF of 143 and 110 =
  28. 28.HCF of 216 and 84 =
  29. 29.HCF of 336 and 120 =
  30. 30.HCF of 171 and 38 =
  31. 31.HCF of 85 and 10 =
  32. 32.HCF of 84 and 132 =
  33. 33.HCF of 221 and 117 =
  34. 34.HCF of 380 and 180 =
  35. 35.HCF of 391 and 184 =
  36. 36.HCF of 171 and 81 =
  37. 37.HCF of 51 and 6 =
  38. 38.HCF of 70 and 100 =
  39. 39.HCF of 60 and 55 =
  40. 40.HCF of 25 and 95 =

Answer key

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

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