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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 11 · 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 49 and 28 =
  2. 2.HCF of 108 and 24 =
  3. 3.HCF of 324 and 90 =
  4. 4.HCF of 192 and 180 =
  5. 5.HCF of 42 and 96 =
  6. 6.HCF of 195 and 90 =
  7. 7.HCF of 238 and 187 =
  8. 8.HCF of 68 and 32 =
  9. 9.HCF of 361 and 76 =
  10. 10.HCF of 27 and 21 =
  11. 11.HCF of 475 and 350 =
  12. 12.HCF of 60 and 48 =
  13. 13.HCF of 99 and 171 =
  14. 14.HCF of 323 and 76 =
  15. 15.HCF of 30 and 12 =
  16. 16.HCF of 12 and 16 =
  17. 17.HCF of 21 and 33 =
  18. 18.HCF of 320 and 144 =
  19. 19.HCF of 52 and 20 =
  20. 20.HCF of 220 and 154 =
  21. 21.HCF of 224 and 176 =
  22. 22.HCF of 15 and 10 =
  23. 23.HCF of 48 and 28 =
  24. 24.HCF of 361 and 342 =
  25. 25.HCF of 10 and 8 =
  26. 26.HCF of 66 and 120 =
  27. 27.HCF of 90 and 140 =
  28. 28.HCF of 210 and 357 =
  29. 29.HCF of 6 and 8 =
  30. 30.HCF of 153 and 119 =
  31. 31.HCF of 66 and 114 =
  32. 32.HCF of 42 and 315 =
  33. 33.HCF of 126 and 135 =
  34. 34.HCF of 20 and 18 =
  35. 35.HCF of 189 and 105 =
  36. 36.HCF of 418 and 88 =
  37. 37.HCF of 95 and 133 =
  38. 38.HCF of 144 and 156 =
  39. 39.HCF of 323 and 187 =
  40. 40.HCF of 80 and 24 =

Answer key

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

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