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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 235 · 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 117 and 65 =
  2. 2.HCF of 391 and 207 =
  3. 3.HCF of 22 and 209 =
  4. 4.HCF of 156 and 180 =
  5. 5.HCF of 10 and 32 =
  6. 6.HCF of 54 and 15 =
  7. 7.HCF of 84 and 102 =
  8. 8.HCF of 126 and 36 =
  9. 9.HCF of 22 and 12 =
  10. 10.HCF of 380 and 323 =
  11. 11.HCF of 25 and 15 =
  12. 12.HCF of 32 and 6 =
  13. 13.HCF of 90 and 35 =
  14. 14.HCF of 105 and 119 =
  15. 15.HCF of 315 and 231 =
  16. 16.HCF of 42 and 315 =
  17. 17.HCF of 360 and 380 =
  18. 18.HCF of 72 and 32 =
  19. 19.HCF of 49 and 42 =
  20. 20.HCF of 35 and 112 =
  21. 21.HCF of 165 and 154 =
  22. 22.HCF of 104 and 72 =
  23. 23.HCF of 368 and 69 =
  24. 24.HCF of 216 and 120 =
  25. 25.HCF of 91 and 234 =
  26. 26.HCF of 39 and 33 =
  27. 27.HCF of 92 and 345 =
  28. 28.HCF of 126 and 198 =
  29. 29.HCF of 128 and 56 =
  30. 30.HCF of 140 and 180 =
  31. 31.HCF of 75 and 100 =
  32. 32.HCF of 28 and 6 =
  33. 33.HCF of 14 and 133 =
  34. 34.HCF of 18 and 15 =
  35. 35.HCF of 12 and 34 =
  36. 36.HCF of 15 and 70 =
  37. 37.HCF of 68 and 24 =
  38. 38.HCF of 26 and 18 =
  39. 39.HCF of 110 and 88 =
  40. 40.HCF of 156 and 72 =

Answer key

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

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