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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 574 · 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 117 and 72 =
  2. 2.HCF of 128 and 72 =
  3. 3.HCF of 40 and 190 =
  4. 4.HCF of 100 and 75 =
  5. 5.HCF of 170 and 60 =
  6. 6.HCF of 10 and 38 =
  7. 7.HCF of 50 and 80 =
  8. 8.HCF of 4 and 6 =
  9. 9.HCF of 152 and 136 =
  10. 10.HCF of 336 and 105 =
  11. 11.HCF of 96 and 102 =
  12. 12.HCF of 154 and 66 =
  13. 13.HCF of 242 and 44 =
  14. 14.HCF of 30 and 66 =
  15. 15.HCF of 70 and 85 =
  16. 16.HCF of 24 and 80 =
  17. 17.HCF of 168 and 147 =
  18. 18.HCF of 95 and 85 =
  19. 19.HCF of 264 and 216 =
  20. 20.HCF of 70 and 150 =
  21. 21.HCF of 30 and 66 =
  22. 22.HCF of 33 and 6 =
  23. 23.HCF of 27 and 180 =
  24. 24.HCF of 234 and 198 =
  25. 25.HCF of 95 and 15 =
  26. 26.HCF of 162 and 234 =
  27. 27.HCF of 55 and 66 =
  28. 28.HCF of 154 and 140 =
  29. 29.HCF of 204 and 228 =
  30. 30.HCF of 255 and 180 =
  31. 31.HCF of 104 and 40 =
  32. 32.HCF of 78 and 91 =
  33. 33.HCF of 63 and 119 =
  34. 34.HCF of 84 and 228 =
  35. 35.HCF of 38 and 95 =
  36. 36.HCF of 126 and 399 =
  37. 37.HCF of 190 and 50 =
  38. 38.HCF of 152 and 112 =
  39. 39.HCF of 72 and 114 =
  40. 40.HCF of 240 and 224 =

Answer key

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

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