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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 538 · 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 221 and 51 =
  2. 2.HCF of 30 and 45 =
  3. 3.HCF of 102 and 96 =
  4. 4.HCF of 22 and 8 =
  5. 5.HCF of 84 and 154 =
  6. 6.HCF of 50 and 475 =
  7. 7.HCF of 500 and 225 =
  8. 8.HCF of 49 and 140 =
  9. 9.HCF of 35 and 42 =
  10. 10.HCF of 24 and 68 =
  11. 11.HCF of 143 and 198 =
  12. 12.HCF of 65 and 75 =
  13. 13.HCF of 57 and 133 =
  14. 14.HCF of 6 and 4 =
  15. 15.HCF of 95 and 70 =
  16. 16.HCF of 270 and 75 =
  17. 17.HCF of 88 and 16 =
  18. 18.HCF of 26 and 12 =
  19. 19.HCF of 20 and 72 =
  20. 20.HCF of 255 and 150 =
  21. 21.HCF of 176 and 198 =
  22. 22.HCF of 117 and 36 =
  23. 23.HCF of 20 and 85 =
  24. 24.HCF of 60 and 228 =
  25. 25.HCF of 96 and 42 =
  26. 26.HCF of 36 and 126 =
  27. 27.HCF of 120 and 288 =
  28. 28.HCF of 45 and 126 =
  29. 29.HCF of 247 and 190 =
  30. 30.HCF of 68 and 119 =
  31. 31.HCF of 264 and 168 =
  32. 32.HCF of 91 and 84 =
  33. 33.HCF of 88 and 198 =
  34. 34.HCF of 45 and 39 =
  35. 35.HCF of 126 and 91 =
  36. 36.HCF of 51 and 85 =
  37. 37.HCF of 32 and 36 =
  38. 38.HCF of 100 and 15 =
  39. 39.HCF of 105 and 231 =
  40. 40.HCF of 234 and 221 =

Answer key

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

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