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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 179 · 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 8 and 10 =
  2. 2.HCF of 140 and 77 =
  3. 3.HCF of 408 and 264 =
  4. 4.HCF of 143 and 195 =
  5. 5.HCF of 26 and 10 =
  6. 6.HCF of 48 and 80 =
  7. 7.HCF of 100 and 240 =
  8. 8.HCF of 170 and 221 =
  9. 9.HCF of 255 and 75 =
  10. 10.HCF of 52 and 20 =
  11. 11.HCF of 20 and 14 =
  12. 12.HCF of 136 and 85 =
  13. 13.HCF of 140 and 40 =
  14. 14.HCF of 361 and 285 =
  15. 15.HCF of 21 and 140 =
  16. 16.HCF of 221 and 204 =
  17. 17.HCF of 14 and 32 =
  18. 18.HCF of 110 and 264 =
  19. 19.HCF of 121 and 77 =
  20. 20.HCF of 49 and 119 =
  21. 21.HCF of 242 and 286 =
  22. 22.HCF of 84 and 240 =
  23. 23.HCF of 45 and 153 =
  24. 24.HCF of 126 and 224 =
  25. 25.HCF of 208 and 91 =
  26. 26.HCF of 238 and 70 =
  27. 27.HCF of 18 and 15 =
  28. 28.HCF of 432 and 168 =
  29. 29.HCF of 80 and 52 =
  30. 30.HCF of 300 and 340 =
  31. 31.HCF of 36 and 117 =
  32. 32.HCF of 24 and 16 =
  33. 33.HCF of 234 and 54 =
  34. 34.HCF of 200 and 75 =
  35. 35.HCF of 147 and 42 =
  36. 36.HCF of 204 and 144 =
  37. 37.HCF of 60 and 195 =
  38. 38.HCF of 156 and 36 =
  39. 39.HCF of 30 and 25 =
  40. 40.HCF of 84 and 119 =

Answer key

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

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