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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 297 · 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 320 and 100 =
  2. 2.HCF of 216 and 198 =
  3. 3.HCF of 210 and 28 =
  4. 4.HCF of 77 and 70 =
  5. 5.HCF of 119 and 102 =
  6. 6.HCF of 418 and 396 =
  7. 7.HCF of 72 and 76 =
  8. 8.HCF of 175 and 425 =
  9. 9.HCF of 336 and 408 =
  10. 10.HCF of 14 and 4 =
  11. 11.HCF of 54 and 120 =
  12. 12.HCF of 98 and 84 =
  13. 13.HCF of 209 and 33 =
  14. 14.HCF of 33 and 45 =
  15. 15.HCF of 21 and 28 =
  16. 16.HCF of 10 and 14 =
  17. 17.HCF of 42 and 315 =
  18. 18.HCF of 57 and 133 =
  19. 19.HCF of 42 and 98 =
  20. 20.HCF of 184 and 161 =
  21. 21.HCF of 360 and 140 =
  22. 22.HCF of 315 and 231 =
  23. 23.HCF of 78 and 120 =
  24. 24.HCF of 27 and 18 =
  25. 25.HCF of 162 and 45 =
  26. 26.HCF of 152 and 104 =
  27. 27.HCF of 136 and 221 =
  28. 28.HCF of 105 and 270 =
  29. 29.HCF of 144 and 162 =
  30. 30.HCF of 78 and 30 =
  31. 31.HCF of 400 and 60 =
  32. 32.HCF of 156 and 84 =
  33. 33.HCF of 54 and 171 =
  34. 34.HCF of 76 and 57 =
  35. 35.HCF of 117 and 182 =
  36. 36.HCF of 120 and 66 =
  37. 37.HCF of 264 and 240 =
  38. 38.HCF of 342 and 72 =
  39. 39.HCF of 21 and 12 =
  40. 40.HCF of 128 and 72 =

Answer key

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

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