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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 87 · 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 48 and 45 =
  2. 2.HCF of 15 and 54 =
  3. 3.HCF of 260 and 280 =
  4. 4.HCF of 91 and 140 =
  5. 5.HCF of 55 and 40 =
  6. 6.HCF of 96 and 30 =
  7. 7.HCF of 48 and 128 =
  8. 8.HCF of 22 and 34 =
  9. 9.HCF of 100 and 60 =
  10. 10.HCF of 8 and 44 =
  11. 11.HCF of 68 and 20 =
  12. 12.HCF of 130 and 169 =
  13. 13.HCF of 105 and 49 =
  14. 14.HCF of 102 and 36 =
  15. 15.HCF of 154 and 70 =
  16. 16.HCF of 28 and 42 =
  17. 17.HCF of 20 and 6 =
  18. 18.HCF of 156 and 228 =
  19. 19.HCF of 128 and 112 =
  20. 20.HCF of 65 and 80 =
  21. 21.HCF of 323 and 170 =
  22. 22.HCF of 95 and 247 =
  23. 23.HCF of 171 and 126 =
  24. 24.HCF of 78 and 84 =
  25. 25.HCF of 400 and 260 =
  26. 26.HCF of 38 and 10 =
  27. 27.HCF of 44 and 48 =
  28. 28.HCF of 156 and 168 =
  29. 29.HCF of 260 and 91 =
  30. 30.HCF of 418 and 308 =
  31. 31.HCF of 30 and 66 =
  32. 32.HCF of 230 and 299 =
  33. 33.HCF of 30 and 54 =
  34. 34.HCF of 247 and 38 =
  35. 35.HCF of 76 and 72 =
  36. 36.HCF of 264 and 384 =
  37. 37.HCF of 96 and 72 =
  38. 38.HCF of 168 and 192 =
  39. 39.HCF of 28 and 30 =
  40. 40.HCF of 42 and 15 =

Answer key

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

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