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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 396 · 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 105 and 120 =
  2. 2.HCF of 224 and 80 =
  3. 3.HCF of 60 and 78 =
  4. 4.HCF of 126 and 182 =
  5. 5.HCF of 143 and 117 =
  6. 6.HCF of 224 and 210 =
  7. 7.HCF of 276 and 161 =
  8. 8.HCF of 90 and 170 =
  9. 9.HCF of 110 and 154 =
  10. 10.HCF of 144 and 40 =
  11. 11.HCF of 418 and 110 =
  12. 12.HCF of 192 and 408 =
  13. 13.HCF of 156 and 36 =
  14. 14.HCF of 57 and 15 =
  15. 15.HCF of 161 and 138 =
  16. 16.HCF of 100 and 425 =
  17. 17.HCF of 33 and 9 =
  18. 18.HCF of 170 and 130 =
  19. 19.HCF of 40 and 14 =
  20. 20.HCF of 238 and 140 =
  21. 21.HCF of 14 and 12 =
  22. 22.HCF of 24 and 20 =
  23. 23.HCF of 12 and 78 =
  24. 24.HCF of 184 and 207 =
  25. 25.HCF of 299 and 161 =
  26. 26.HCF of 225 and 255 =
  27. 27.HCF of 20 and 15 =
  28. 28.HCF of 84 and 315 =
  29. 29.HCF of 63 and 81 =
  30. 30.HCF of 22 and 36 =
  31. 31.HCF of 285 and 60 =
  32. 32.HCF of 207 and 460 =
  33. 33.HCF of 196 and 42 =
  34. 34.HCF of 20 and 130 =
  35. 35.HCF of 161 and 46 =
  36. 36.HCF of 196 and 182 =
  37. 37.HCF of 342 and 180 =
  38. 38.HCF of 72 and 32 =
  39. 39.HCF of 40 and 48 =
  40. 40.HCF of 90 and 25 =

Answer key

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

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