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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 307 · 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 20 and 8 =
  2. 2.HCF of 90 and 95 =
  3. 3.HCF of 209 and 77 =
  4. 4.HCF of 88 and 286 =
  5. 5.HCF of 12 and 42 =
  6. 6.HCF of 22 and 165 =
  7. 7.HCF of 96 and 84 =
  8. 8.HCF of 208 and 272 =
  9. 9.HCF of 44 and 33 =
  10. 10.HCF of 45 and 72 =
  11. 11.HCF of 16 and 152 =
  12. 12.HCF of 247 and 182 =
  13. 13.HCF of 176 and 330 =
  14. 14.HCF of 56 and 40 =
  15. 15.HCF of 57 and 247 =
  16. 16.HCF of 70 and 80 =
  17. 17.HCF of 198 and 144 =
  18. 18.HCF of 255 and 180 =
  19. 19.HCF of 120 and 108 =
  20. 20.HCF of 176 and 209 =
  21. 21.HCF of 323 and 76 =
  22. 22.HCF of 51 and 289 =
  23. 23.HCF of 189 and 336 =
  24. 24.HCF of 125 and 400 =
  25. 25.HCF of 252 and 90 =
  26. 26.HCF of 51 and 54 =
  27. 27.HCF of 306 and 323 =
  28. 28.HCF of 45 and 150 =
  29. 29.HCF of 25 and 20 =
  30. 30.HCF of 120 and 136 =
  31. 31.HCF of 156 and 60 =
  32. 32.HCF of 204 and 119 =
  33. 33.HCF of 240 and 195 =
  34. 34.HCF of 126 and 70 =
  35. 35.HCF of 247 and 234 =
  36. 36.HCF of 84 and 78 =
  37. 37.HCF of 175 and 400 =
  38. 38.HCF of 255 and 119 =
  39. 39.HCF of 133 and 247 =
  40. 40.HCF of 15 and 27 =

Answer key

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

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