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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 630 · 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 24 and 112 =
  2. 2.HCF of 133 and 63 =
  3. 3.HCF of 54 and 114 =
  4. 4.HCF of 42 and 30 =
  5. 5.HCF of 195 and 60 =
  6. 6.HCF of 12 and 33 =
  7. 7.HCF of 272 and 323 =
  8. 8.HCF of 6 and 32 =
  9. 9.HCF of 285 and 90 =
  10. 10.HCF of 78 and 36 =
  11. 11.HCF of 162 and 63 =
  12. 12.HCF of 48 and 272 =
  13. 13.HCF of 36 and 198 =
  14. 14.HCF of 198 and 360 =
  15. 15.HCF of 112 and 77 =
  16. 16.HCF of 95 and 90 =
  17. 17.HCF of 138 and 437 =
  18. 18.HCF of 357 and 42 =
  19. 19.HCF of 22 and 14 =
  20. 20.HCF of 20 and 170 =
  21. 21.HCF of 70 and 238 =
  22. 22.HCF of 120 and 48 =
  23. 23.HCF of 35 and 80 =
  24. 24.HCF of 84 and 66 =
  25. 25.HCF of 38 and 8 =
  26. 26.HCF of 50 and 125 =
  27. 27.HCF of 36 and 96 =
  28. 28.HCF of 133 and 190 =
  29. 29.HCF of 52 and 36 =
  30. 30.HCF of 102 and 54 =
  31. 31.HCF of 49 and 42 =
  32. 32.HCF of 117 and 81 =
  33. 33.HCF of 104 and 64 =
  34. 34.HCF of 240 and 408 =
  35. 35.HCF of 85 and 10 =
  36. 36.HCF of 342 and 90 =
  37. 37.HCF of 95 and 85 =
  38. 38.HCF of 75 and 285 =
  39. 39.HCF of 119 and 85 =
  40. 40.HCF of 40 and 15 =

Answer key

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

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