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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 678 · 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 391 and 414 =
  2. 2.HCF of 78 and 90 =
  3. 3.HCF of 84 and 96 =
  4. 4.HCF of 90 and 99 =
  5. 5.HCF of 336 and 105 =
  6. 6.HCF of 69 and 299 =
  7. 7.HCF of 21 and 70 =
  8. 8.HCF of 16 and 14 =
  9. 9.HCF of 56 and 16 =
  10. 10.HCF of 90 and 306 =
  11. 11.HCF of 45 and 285 =
  12. 12.HCF of 65 and 20 =
  13. 13.HCF of 207 and 92 =
  14. 14.HCF of 125 and 325 =
  15. 15.HCF of 130 and 70 =
  16. 16.HCF of 40 and 128 =
  17. 17.HCF of 78 and 84 =
  18. 18.HCF of 360 and 234 =
  19. 19.HCF of 30 and 24 =
  20. 20.HCF of 260 and 40 =
  21. 21.HCF of 120 and 42 =
  22. 22.HCF of 90 and 114 =
  23. 23.HCF of 198 and 36 =
  24. 24.HCF of 204 and 84 =
  25. 25.HCF of 306 and 252 =
  26. 26.HCF of 72 and 84 =
  27. 27.HCF of 125 and 400 =
  28. 28.HCF of 14 and 10 =
  29. 29.HCF of 130 and 143 =
  30. 30.HCF of 33 and 57 =
  31. 31.HCF of 171 and 126 =
  32. 32.HCF of 63 and 144 =
  33. 33.HCF of 475 and 150 =
  34. 34.HCF of 38 and 32 =
  35. 35.HCF of 357 and 252 =
  36. 36.HCF of 55 and 75 =
  37. 37.HCF of 400 and 325 =
  38. 38.HCF of 437 and 92 =
  39. 39.HCF of 68 and 72 =
  40. 40.HCF of 10 and 15 =

Answer key

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

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