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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 45 · 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 8 and 12 =
  2. 2.HCF of 110 and 66 =
  3. 3.HCF of 21 and 6 =
  4. 4.HCF of 99 and 135 =
  5. 5.HCF of 242 and 66 =
  6. 6.HCF of 360 and 100 =
  7. 7.HCF of 126 and 270 =
  8. 8.HCF of 80 and 128 =
  9. 9.HCF of 14 and 4 =
  10. 10.HCF of 16 and 26 =
  11. 11.HCF of 15 and 55 =
  12. 12.HCF of 64 and 52 =
  13. 13.HCF of 44 and 36 =
  14. 14.HCF of 98 and 35 =
  15. 15.HCF of 30 and 12 =
  16. 16.HCF of 42 and 35 =
  17. 17.HCF of 78 and 84 =
  18. 18.HCF of 84 and 91 =
  19. 19.HCF of 42 and 114 =
  20. 20.HCF of 160 and 304 =
  21. 21.HCF of 275 and 325 =
  22. 22.HCF of 147 and 189 =
  23. 23.HCF of 56 and 21 =
  24. 24.HCF of 289 and 102 =
  25. 25.HCF of 288 and 234 =
  26. 26.HCF of 15 and 24 =
  27. 27.HCF of 21 and 12 =
  28. 28.HCF of 221 and 104 =
  29. 29.HCF of 425 and 75 =
  30. 30.HCF of 85 and 30 =
  31. 31.HCF of 38 and 8 =
  32. 32.HCF of 144 and 156 =
  33. 33.HCF of 432 and 120 =
  34. 34.HCF of 299 and 69 =
  35. 35.HCF of 204 and 144 =
  36. 36.HCF of 437 and 368 =
  37. 37.HCF of 88 and 110 =
  38. 38.HCF of 100 and 225 =
  39. 39.HCF of 378 and 147 =
  40. 40.HCF of 187 and 220 =

Answer key

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

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