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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 347 · 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 14 and 8 =
  2. 2.HCF of 50 and 225 =
  3. 3.HCF of 63 and 117 =
  4. 4.HCF of 54 and 99 =
  5. 5.HCF of 80 and 224 =
  6. 6.HCF of 154 and 187 =
  7. 7.HCF of 120 and 18 =
  8. 8.HCF of 16 and 38 =
  9. 9.HCF of 40 and 68 =
  10. 10.HCF of 380 and 361 =
  11. 11.HCF of 384 and 360 =
  12. 12.HCF of 171 and 180 =
  13. 13.HCF of 57 and 42 =
  14. 14.HCF of 198 and 36 =
  15. 15.HCF of 12 and 20 =
  16. 16.HCF of 65 and 156 =
  17. 17.HCF of 220 and 200 =
  18. 18.HCF of 180 and 96 =
  19. 19.HCF of 90 and 306 =
  20. 20.HCF of 272 and 192 =
  21. 21.HCF of 56 and 266 =
  22. 22.HCF of 66 and 120 =
  23. 23.HCF of 133 and 76 =
  24. 24.HCF of 143 and 260 =
  25. 25.HCF of 28 and 133 =
  26. 26.HCF of 39 and 130 =
  27. 27.HCF of 133 and 209 =
  28. 28.HCF of 154 and 168 =
  29. 29.HCF of 64 and 20 =
  30. 30.HCF of 120 and 432 =
  31. 31.HCF of 56 and 136 =
  32. 32.HCF of 323 and 204 =
  33. 33.HCF of 65 and 85 =
  34. 34.HCF of 54 and 288 =
  35. 35.HCF of 140 and 170 =
  36. 36.HCF of 105 and 231 =
  37. 37.HCF of 306 and 221 =
  38. 38.HCF of 153 and 63 =
  39. 39.HCF of 20 and 45 =
  40. 40.HCF of 35 and 84 =

Answer key

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

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