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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 557 · 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 36 and 24 =
  2. 2.HCF of 84 and 182 =
  3. 3.HCF of 66 and 121 =
  4. 4.HCF of 156 and 65 =
  5. 5.HCF of 45 and 63 =
  6. 6.HCF of 170 and 187 =
  7. 7.HCF of 56 and 64 =
  8. 8.HCF of 400 and 75 =
  9. 9.HCF of 36 and 16 =
  10. 10.HCF of 100 and 175 =
  11. 11.HCF of 35 and 126 =
  12. 12.HCF of 143 and 234 =
  13. 13.HCF of 63 and 180 =
  14. 14.HCF of 44 and 242 =
  15. 15.HCF of 40 and 140 =
  16. 16.HCF of 288 and 168 =
  17. 17.HCF of 114 and 78 =
  18. 18.HCF of 80 and 90 =
  19. 19.HCF of 90 and 198 =
  20. 20.HCF of 117 and 27 =
  21. 21.HCF of 342 and 324 =
  22. 22.HCF of 22 and 24 =
  23. 23.HCF of 56 and 70 =
  24. 24.HCF of 46 and 391 =
  25. 25.HCF of 98 and 105 =
  26. 26.HCF of 66 and 440 =
  27. 27.HCF of 66 and 187 =
  28. 28.HCF of 10 and 75 =
  29. 29.HCF of 105 and 14 =
  30. 30.HCF of 64 and 12 =
  31. 31.HCF of 18 and 8 =
  32. 32.HCF of 42 and 108 =
  33. 33.HCF of 180 and 84 =
  34. 34.HCF of 273 and 168 =
  35. 35.HCF of 100 and 175 =
  36. 36.HCF of 22 and 30 =
  37. 37.HCF of 126 and 99 =
  38. 38.HCF of 133 and 56 =
  39. 39.HCF of 70 and 55 =
  40. 40.HCF of 168 and 36 =

Answer key

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

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