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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 76 · 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 100 and 140 =
  2. 2.HCF of 44 and 33 =
  3. 3.HCF of 85 and 136 =
  4. 4.HCF of 187 and 323 =
  5. 5.HCF of 130 and 20 =
  6. 6.HCF of 57 and 152 =
  7. 7.HCF of 187 and 204 =
  8. 8.HCF of 24 and 28 =
  9. 9.HCF of 38 and 4 =
  10. 10.HCF of 33 and 121 =
  11. 11.HCF of 119 and 136 =
  12. 12.HCF of 195 and 300 =
  13. 13.HCF of 30 and 18 =
  14. 14.HCF of 285 and 361 =
  15. 15.HCF of 55 and 209 =
  16. 16.HCF of 42 and 224 =
  17. 17.HCF of 91 and 49 =
  18. 18.HCF of 304 and 176 =
  19. 19.HCF of 85 and 20 =
  20. 20.HCF of 180 and 75 =
  21. 21.HCF of 88 and 187 =
  22. 22.HCF of 57 and 95 =
  23. 23.HCF of 143 and 78 =
  24. 24.HCF of 52 and 24 =
  25. 25.HCF of 220 and 99 =
  26. 26.HCF of 85 and 30 =
  27. 27.HCF of 84 and 156 =
  28. 28.HCF of 70 and 84 =
  29. 29.HCF of 60 and 255 =
  30. 30.HCF of 49 and 105 =
  31. 31.HCF of 136 and 51 =
  32. 32.HCF of 170 and 51 =
  33. 33.HCF of 198 and 55 =
  34. 34.HCF of 304 and 272 =
  35. 35.HCF of 44 and 165 =
  36. 36.HCF of 76 and 36 =
  37. 37.HCF of 323 and 68 =
  38. 38.HCF of 126 and 108 =
  39. 39.HCF of 209 and 38 =
  40. 40.HCF of 266 and 84 =

Answer key

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

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