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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 409 · 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 12 and 28 =
  2. 2.HCF of 90 and 117 =
  3. 3.HCF of 85 and 100 =
  4. 4.HCF of 39 and 130 =
  5. 5.HCF of 44 and 56 =
  6. 6.HCF of 55 and 22 =
  7. 7.HCF of 361 and 323 =
  8. 8.HCF of 119 and 170 =
  9. 9.HCF of 14 and 8 =
  10. 10.HCF of 192 and 60 =
  11. 11.HCF of 143 and 55 =
  12. 12.HCF of 432 and 312 =
  13. 13.HCF of 72 and 44 =
  14. 14.HCF of 10 and 16 =
  15. 15.HCF of 136 and 255 =
  16. 16.HCF of 340 and 221 =
  17. 17.HCF of 360 and 140 =
  18. 18.HCF of 256 and 80 =
  19. 19.HCF of 85 and 80 =
  20. 20.HCF of 240 and 132 =
  21. 21.HCF of 64 and 56 =
  22. 22.HCF of 114 and 18 =
  23. 23.HCF of 133 and 14 =
  24. 24.HCF of 126 and 119 =
  25. 25.HCF of 440 and 154 =
  26. 26.HCF of 360 and 234 =
  27. 27.HCF of 400 and 60 =
  28. 28.HCF of 51 and 45 =
  29. 29.HCF of 52 and 117 =
  30. 30.HCF of 20 and 36 =
  31. 31.HCF of 184 and 391 =
  32. 32.HCF of 225 and 105 =
  33. 33.HCF of 180 and 40 =
  34. 34.HCF of 66 and 36 =
  35. 35.HCF of 242 and 88 =
  36. 36.HCF of 68 and 255 =
  37. 37.HCF of 15 and 85 =
  38. 38.HCF of 32 and 52 =
  39. 39.HCF of 30 and 65 =
  40. 40.HCF of 182 and 196 =

Answer key

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

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