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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 495 · 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 21 and 60 =
  2. 2.HCF of 40 and 150 =
  3. 3.HCF of 96 and 136 =
  4. 4.HCF of 408 and 264 =
  5. 5.HCF of 60 and 140 =
  6. 6.HCF of 180 and 84 =
  7. 7.HCF of 120 and 78 =
  8. 8.HCF of 165 and 143 =
  9. 9.HCF of 171 and 45 =
  10. 10.HCF of 153 and 340 =
  11. 11.HCF of 391 and 230 =
  12. 12.HCF of 32 and 120 =
  13. 13.HCF of 160 and 130 =
  14. 14.HCF of 34 and 187 =
  15. 15.HCF of 150 and 125 =
  16. 16.HCF of 95 and 75 =
  17. 17.HCF of 84 and 78 =
  18. 18.HCF of 99 and 117 =
  19. 19.HCF of 126 and 54 =
  20. 20.HCF of 30 and 285 =
  21. 21.HCF of 180 and 195 =
  22. 22.HCF of 114 and 12 =
  23. 23.HCF of 66 and 44 =
  24. 24.HCF of 171 and 27 =
  25. 25.HCF of 342 and 234 =
  26. 26.HCF of 160 and 150 =
  27. 27.HCF of 64 and 88 =
  28. 28.HCF of 56 and 104 =
  29. 29.HCF of 180 and 153 =
  30. 30.HCF of 24 and 60 =
  31. 31.HCF of 228 and 96 =
  32. 32.HCF of 154 and 99 =
  33. 33.HCF of 133 and 49 =
  34. 34.HCF of 114 and 60 =
  35. 35.HCF of 119 and 102 =
  36. 36.HCF of 350 and 275 =
  37. 37.HCF of 285 and 225 =
  38. 38.HCF of 147 and 126 =
  39. 39.HCF of 45 and 285 =
  40. 40.HCF of 323 and 187 =

Answer key

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

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