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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 478 · 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 418 and 66 =
  2. 2.HCF of 30 and 14 =
  3. 3.HCF of 240 and 140 =
  4. 4.HCF of 88 and 16 =
  5. 5.HCF of 374 and 88 =
  6. 6.HCF of 33 and 121 =
  7. 7.HCF of 92 and 299 =
  8. 8.HCF of 209 and 143 =
  9. 9.HCF of 171 and 54 =
  10. 10.HCF of 104 and 112 =
  11. 11.HCF of 234 and 143 =
  12. 12.HCF of 56 and 64 =
  13. 13.HCF of 8 and 20 =
  14. 14.HCF of 28 and 24 =
  15. 15.HCF of 184 and 345 =
  16. 16.HCF of 315 and 336 =
  17. 17.HCF of 28 and 18 =
  18. 18.HCF of 475 and 400 =
  19. 19.HCF of 55 and 198 =
  20. 20.HCF of 102 and 78 =
  21. 21.HCF of 238 and 153 =
  22. 22.HCF of 432 and 120 =
  23. 23.HCF of 112 and 208 =
  24. 24.HCF of 115 and 414 =
  25. 25.HCF of 138 and 253 =
  26. 26.HCF of 100 and 120 =
  27. 27.HCF of 60 and 100 =
  28. 28.HCF of 35 and 20 =
  29. 29.HCF of 207 and 368 =
  30. 30.HCF of 12 and 15 =
  31. 31.HCF of 132 and 242 =
  32. 32.HCF of 187 and 55 =
  33. 33.HCF of 110 and 100 =
  34. 34.HCF of 252 and 105 =
  35. 35.HCF of 70 and 180 =
  36. 36.HCF of 20 and 190 =
  37. 37.HCF of 39 and 182 =
  38. 38.HCF of 24 and 68 =
  39. 39.HCF of 171 and 247 =
  40. 40.HCF of 133 and 38 =

Answer key

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

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