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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 875 · 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 20 and 32 =
  2. 2.HCF of 49 and 140 =
  3. 3.HCF of 100 and 40 =
  4. 4.HCF of 180 and 168 =
  5. 5.HCF of 209 and 187 =
  6. 6.HCF of 117 and 91 =
  7. 7.HCF of 60 and 132 =
  8. 8.HCF of 140 and 63 =
  9. 9.HCF of 8 and 22 =
  10. 10.HCF of 25 and 70 =
  11. 11.HCF of 154 and 286 =
  12. 12.HCF of 50 and 375 =
  13. 13.HCF of 50 and 45 =
  14. 14.HCF of 91 and 112 =
  15. 15.HCF of 20 and 36 =
  16. 16.HCF of 30 and 12 =
  17. 17.HCF of 22 and 32 =
  18. 18.HCF of 378 and 273 =
  19. 19.HCF of 200 and 175 =
  20. 20.HCF of 28 and 76 =
  21. 21.HCF of 357 and 420 =
  22. 22.HCF of 221 and 117 =
  23. 23.HCF of 72 and 44 =
  24. 24.HCF of 33 and 110 =
  25. 25.HCF of 36 and 32 =
  26. 26.HCF of 36 and 126 =
  27. 27.HCF of 117 and 27 =
  28. 28.HCF of 408 and 264 =
  29. 29.HCF of 51 and 221 =
  30. 30.HCF of 135 and 99 =
  31. 31.HCF of 156 and 96 =
  32. 32.HCF of 36 and 10 =
  33. 33.HCF of 384 and 360 =
  34. 34.HCF of 33 and 30 =
  35. 35.HCF of 150 and 125 =
  36. 36.HCF of 24 and 102 =
  37. 37.HCF of 85 and 50 =
  38. 38.HCF of 323 and 34 =
  39. 39.HCF of 224 and 126 =
  40. 40.HCF of 112 and 80 =

Answer key

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

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