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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 685 · 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 66 =
  2. 2.HCF of 120 and 152 =
  3. 3.HCF of 75 and 175 =
  4. 4.HCF of 49 and 56 =
  5. 5.HCF of 408 and 192 =
  6. 6.HCF of 60 and 42 =
  7. 7.HCF of 22 and 24 =
  8. 8.HCF of 100 and 130 =
  9. 9.HCF of 42 and 91 =
  10. 10.HCF of 92 and 391 =
  11. 11.HCF of 104 and 128 =
  12. 12.HCF of 26 and 195 =
  13. 13.HCF of 44 and 286 =
  14. 14.HCF of 112 and 272 =
  15. 15.HCF of 54 and 360 =
  16. 16.HCF of 110 and 30 =
  17. 17.HCF of 171 and 135 =
  18. 18.HCF of 69 and 460 =
  19. 19.HCF of 6 and 45 =
  20. 20.HCF of 112 and 320 =
  21. 21.HCF of 48 and 9 =
  22. 22.HCF of 152 and 96 =
  23. 23.HCF of 84 and 204 =
  24. 24.HCF of 12 and 52 =
  25. 25.HCF of 104 and 91 =
  26. 26.HCF of 144 and 64 =
  27. 27.HCF of 22 and 18 =
  28. 28.HCF of 475 and 275 =
  29. 29.HCF of 78 and 102 =
  30. 30.HCF of 54 and 120 =
  31. 31.HCF of 147 and 168 =
  32. 32.HCF of 16 and 22 =
  33. 33.HCF of 18 and 45 =
  34. 34.HCF of 114 and 102 =
  35. 35.HCF of 120 and 42 =
  36. 36.HCF of 44 and 72 =
  37. 37.HCF of 112 and 256 =
  38. 38.HCF of 105 and 45 =
  39. 39.HCF of 22 and 36 =
  40. 40.HCF of 33 and 6 =

Answer key

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

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