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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 865 · 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 42 and 24 =
  2. 2.HCF of 70 and 49 =
  3. 3.HCF of 323 and 221 =
  4. 4.HCF of 126 and 99 =
  5. 5.HCF of 55 and 75 =
  6. 6.HCF of 60 and 36 =
  7. 7.HCF of 32 and 14 =
  8. 8.HCF of 22 and 209 =
  9. 9.HCF of 35 and 75 =
  10. 10.HCF of 12 and 80 =
  11. 11.HCF of 156 and 221 =
  12. 12.HCF of 72 and 84 =
  13. 13.HCF of 270 and 252 =
  14. 14.HCF of 20 and 48 =
  15. 15.HCF of 169 and 143 =
  16. 16.HCF of 75 and 475 =
  17. 17.HCF of 44 and 48 =
  18. 18.HCF of 26 and 10 =
  19. 19.HCF of 56 and 96 =
  20. 20.HCF of 408 and 120 =
  21. 21.HCF of 91 and 26 =
  22. 22.HCF of 260 and 120 =
  23. 23.HCF of 80 and 72 =
  24. 24.HCF of 63 and 77 =
  25. 25.HCF of 165 and 44 =
  26. 26.HCF of 256 and 272 =
  27. 27.HCF of 144 and 168 =
  28. 28.HCF of 208 and 272 =
  29. 29.HCF of 46 and 391 =
  30. 30.HCF of 289 and 136 =
  31. 31.HCF of 120 and 42 =
  32. 32.HCF of 221 and 68 =
  33. 33.HCF of 84 and 120 =
  34. 34.HCF of 54 and 102 =
  35. 35.HCF of 66 and 308 =
  36. 36.HCF of 78 and 108 =
  37. 37.HCF of 70 and 91 =
  38. 38.HCF of 125 and 75 =
  39. 39.HCF of 96 and 168 =
  40. 40.HCF of 27 and 153 =

Answer key

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

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