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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 239 · 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 108 and 168 =
  2. 2.HCF of 60 and 85 =
  3. 3.HCF of 171 and 117 =
  4. 4.HCF of 220 and 418 =
  5. 5.HCF of 189 and 231 =
  6. 6.HCF of 55 and 85 =
  7. 7.HCF of 42 and 49 =
  8. 8.HCF of 99 and 209 =
  9. 9.HCF of 35 and 80 =
  10. 10.HCF of 48 and 88 =
  11. 11.HCF of 6 and 57 =
  12. 12.HCF of 264 and 144 =
  13. 13.HCF of 9 and 24 =
  14. 14.HCF of 342 and 95 =
  15. 15.HCF of 20 and 56 =
  16. 16.HCF of 36 and 60 =
  17. 17.HCF of 95 and 10 =
  18. 18.HCF of 272 and 323 =
  19. 19.HCF of 36 and 171 =
  20. 20.HCF of 21 and 33 =
  21. 21.HCF of 84 and 54 =
  22. 22.HCF of 88 and 154 =
  23. 23.HCF of 126 and 234 =
  24. 24.HCF of 171 and 153 =
  25. 25.HCF of 323 and 228 =
  26. 26.HCF of 48 and 108 =
  27. 27.HCF of 361 and 57 =
  28. 28.HCF of 80 and 100 =
  29. 29.HCF of 374 and 418 =
  30. 30.HCF of 120 and 105 =
  31. 31.HCF of 16 and 20 =
  32. 32.HCF of 147 and 189 =
  33. 33.HCF of 126 and 72 =
  34. 34.HCF of 140 and 220 =
  35. 35.HCF of 65 and 55 =
  36. 36.HCF of 14 and 40 =
  37. 37.HCF of 117 and 90 =
  38. 38.HCF of 253 and 92 =
  39. 39.HCF of 100 and 190 =
  40. 40.HCF of 252 and 54 =

Answer key

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

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