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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 633 · 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 84 and 273 =
  2. 2.HCF of 21 and 18 =
  3. 3.HCF of 32 and 68 =
  4. 4.HCF of 125 and 275 =
  5. 5.HCF of 39 and 30 =
  6. 6.HCF of 150 and 20 =
  7. 7.HCF of 140 and 238 =
  8. 8.HCF of 216 and 84 =
  9. 9.HCF of 54 and 36 =
  10. 10.HCF of 20 and 52 =
  11. 11.HCF of 63 and 133 =
  12. 12.HCF of 425 and 100 =
  13. 13.HCF of 72 and 198 =
  14. 14.HCF of 154 and 280 =
  15. 15.HCF of 108 and 24 =
  16. 16.HCF of 80 and 55 =
  17. 17.HCF of 21 and 28 =
  18. 18.HCF of 80 and 12 =
  19. 19.HCF of 18 and 8 =
  20. 20.HCF of 180 and 171 =
  21. 21.HCF of 45 and 300 =
  22. 22.HCF of 30 and 170 =
  23. 23.HCF of 65 and 15 =
  24. 24.HCF of 44 and 209 =
  25. 25.HCF of 136 and 144 =
  26. 26.HCF of 117 and 36 =
  27. 27.HCF of 140 and 100 =
  28. 28.HCF of 156 and 180 =
  29. 29.HCF of 231 and 273 =
  30. 30.HCF of 315 and 168 =
  31. 31.HCF of 63 and 14 =
  32. 32.HCF of 33 and 154 =
  33. 33.HCF of 440 and 286 =
  34. 34.HCF of 224 and 154 =
  35. 35.HCF of 36 and 30 =
  36. 36.HCF of 91 and 140 =
  37. 37.HCF of 270 and 75 =
  38. 38.HCF of 323 and 114 =
  39. 39.HCF of 153 and 72 =
  40. 40.HCF of 51 and 136 =

Answer key

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

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