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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 616 · 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 26 and 117 =
  2. 2.HCF of 90 and 65 =
  3. 3.HCF of 52 and 169 =
  4. 4.HCF of 102 and 119 =
  5. 5.HCF of 22 and 38 =
  6. 6.HCF of 95 and 55 =
  7. 7.HCF of 225 and 30 =
  8. 8.HCF of 96 and 40 =
  9. 9.HCF of 48 and 44 =
  10. 10.HCF of 40 and 85 =
  11. 11.HCF of 132 and 204 =
  12. 12.HCF of 57 and 51 =
  13. 13.HCF of 80 and 90 =
  14. 14.HCF of 182 and 140 =
  15. 15.HCF of 266 and 154 =
  16. 16.HCF of 42 and 77 =
  17. 17.HCF of 220 and 143 =
  18. 18.HCF of 150 and 175 =
  19. 19.HCF of 80 and 104 =
  20. 20.HCF of 252 and 399 =
  21. 21.HCF of 49 and 140 =
  22. 22.HCF of 30 and 54 =
  23. 23.HCF of 216 and 234 =
  24. 24.HCF of 154 and 418 =
  25. 25.HCF of 28 and 70 =
  26. 26.HCF of 12 and 38 =
  27. 27.HCF of 255 and 195 =
  28. 28.HCF of 136 and 64 =
  29. 29.HCF of 15 and 6 =
  30. 30.HCF of 14 and 133 =
  31. 31.HCF of 100 and 15 =
  32. 32.HCF of 30 and 8 =
  33. 33.HCF of 150 and 285 =
  34. 34.HCF of 36 and 10 =
  35. 35.HCF of 42 and 15 =
  36. 36.HCF of 336 and 360 =
  37. 37.HCF of 99 and 180 =
  38. 38.HCF of 70 and 60 =
  39. 39.HCF of 66 and 18 =
  40. 40.HCF of 121 and 132 =

Answer key

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

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