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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 393 · 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 136 and 160 =
  2. 2.HCF of 102 and 323 =
  3. 3.HCF of 42 and 108 =
  4. 4.HCF of 48 and 156 =
  5. 5.HCF of 240 and 135 =
  6. 6.HCF of 380 and 320 =
  7. 7.HCF of 14 and 119 =
  8. 8.HCF of 105 and 270 =
  9. 9.HCF of 52 and 72 =
  10. 10.HCF of 240 and 256 =
  11. 11.HCF of 105 and 294 =
  12. 12.HCF of 425 and 75 =
  13. 13.HCF of 420 and 399 =
  14. 14.HCF of 20 and 65 =
  15. 15.HCF of 112 and 126 =
  16. 16.HCF of 280 and 340 =
  17. 17.HCF of 108 and 204 =
  18. 18.HCF of 80 and 256 =
  19. 19.HCF of 39 and 15 =
  20. 20.HCF of 34 and 22 =
  21. 21.HCF of 95 and 75 =
  22. 22.HCF of 108 and 168 =
  23. 23.HCF of 75 and 165 =
  24. 24.HCF of 121 and 99 =
  25. 25.HCF of 6 and 8 =
  26. 26.HCF of 84 and 108 =
  27. 27.HCF of 15 and 100 =
  28. 28.HCF of 375 and 50 =
  29. 29.HCF of 340 and 200 =
  30. 30.HCF of 154 and 70 =
  31. 31.HCF of 32 and 76 =
  32. 32.HCF of 42 and 56 =
  33. 33.HCF of 288 and 272 =
  34. 34.HCF of 70 and 49 =
  35. 35.HCF of 154 and 140 =
  36. 36.HCF of 42 and 35 =
  37. 37.HCF of 64 and 208 =
  38. 38.HCF of 33 and 54 =
  39. 39.HCF of 147 and 315 =
  40. 40.HCF of 209 and 57 =

Answer key

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

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