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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 698 · 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 114 and 95 =
  2. 2.HCF of 96 and 102 =
  3. 3.HCF of 189 and 231 =
  4. 4.HCF of 56 and 144 =
  5. 5.HCF of 253 and 460 =
  6. 6.HCF of 70 and 95 =
  7. 7.HCF of 96 and 168 =
  8. 8.HCF of 68 and 323 =
  9. 9.HCF of 42 and 27 =
  10. 10.HCF of 51 and 57 =
  11. 11.HCF of 51 and 18 =
  12. 12.HCF of 253 and 207 =
  13. 13.HCF of 20 and 24 =
  14. 14.HCF of 38 and 12 =
  15. 15.HCF of 195 and 135 =
  16. 16.HCF of 75 and 85 =
  17. 17.HCF of 143 and 169 =
  18. 18.HCF of 81 and 72 =
  19. 19.HCF of 112 and 80 =
  20. 20.HCF of 187 and 44 =
  21. 21.HCF of 81 and 171 =
  22. 22.HCF of 57 and 36 =
  23. 23.HCF of 85 and 323 =
  24. 24.HCF of 198 and 36 =
  25. 25.HCF of 70 and 30 =
  26. 26.HCF of 126 and 162 =
  27. 27.HCF of 50 and 125 =
  28. 28.HCF of 228 and 216 =
  29. 29.HCF of 133 and 105 =
  30. 30.HCF of 27 and 144 =
  31. 31.HCF of 112 and 40 =
  32. 32.HCF of 98 and 70 =
  33. 33.HCF of 105 and 112 =
  34. 34.HCF of 42 and 315 =
  35. 35.HCF of 255 and 45 =
  36. 36.HCF of 42 and 36 =
  37. 37.HCF of 95 and 85 =
  38. 38.HCF of 56 and 32 =
  39. 39.HCF of 242 and 396 =
  40. 40.HCF of 28 and 26 =

Answer key

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

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