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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 564 · 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 170 =
  2. 2.HCF of 65 and 60 =
  3. 3.HCF of 76 and 209 =
  4. 4.HCF of 96 and 408 =
  5. 5.HCF of 357 and 105 =
  6. 6.HCF of 204 and 36 =
  7. 7.HCF of 26 and 8 =
  8. 8.HCF of 20 and 75 =
  9. 9.HCF of 171 and 18 =
  10. 10.HCF of 208 and 176 =
  11. 11.HCF of 9 and 15 =
  12. 12.HCF of 117 and 27 =
  13. 13.HCF of 14 and 40 =
  14. 14.HCF of 15 and 25 =
  15. 15.HCF of 153 and 99 =
  16. 16.HCF of 180 and 130 =
  17. 17.HCF of 9 and 57 =
  18. 18.HCF of 300 and 40 =
  19. 19.HCF of 180 and 204 =
  20. 20.HCF of 70 and 119 =
  21. 21.HCF of 168 and 70 =
  22. 22.HCF of 350 and 475 =
  23. 23.HCF of 112 and 266 =
  24. 24.HCF of 228 and 133 =
  25. 25.HCF of 168 and 132 =
  26. 26.HCF of 187 and 77 =
  27. 27.HCF of 39 and 18 =
  28. 28.HCF of 304 and 240 =
  29. 29.HCF of 330 and 242 =
  30. 30.HCF of 18 and 10 =
  31. 31.HCF of 260 and 160 =
  32. 32.HCF of 91 and 208 =
  33. 33.HCF of 72 and 45 =
  34. 34.HCF of 15 and 35 =
  35. 35.HCF of 84 and 216 =
  36. 36.HCF of 80 and 65 =
  37. 37.HCF of 240 and 36 =
  38. 38.HCF of 40 and 136 =
  39. 39.HCF of 36 and 114 =
  40. 40.HCF of 12 and 22 =

Answer key

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

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