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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 186 · 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 55 and 80 =
  2. 2.HCF of 198 and 108 =
  3. 3.HCF of 33 and 44 =
  4. 4.HCF of 42 and 91 =
  5. 5.HCF of 99 and 45 =
  6. 6.HCF of 68 and 24 =
  7. 7.HCF of 299 and 460 =
  8. 8.HCF of 39 and 60 =
  9. 9.HCF of 77 and 126 =
  10. 10.HCF of 260 and 320 =
  11. 11.HCF of 54 and 57 =
  12. 12.HCF of 190 and 160 =
  13. 13.HCF of 150 and 165 =
  14. 14.HCF of 112 and 104 =
  15. 15.HCF of 39 and 18 =
  16. 16.HCF of 84 and 119 =
  17. 17.HCF of 210 and 135 =
  18. 18.HCF of 143 and 99 =
  19. 19.HCF of 315 and 42 =
  20. 20.HCF of 65 and 117 =
  21. 21.HCF of 168 and 72 =
  22. 22.HCF of 35 and 56 =
  23. 23.HCF of 266 and 224 =
  24. 24.HCF of 340 and 120 =
  25. 25.HCF of 26 and 221 =
  26. 26.HCF of 104 and 80 =
  27. 27.HCF of 14 and 4 =
  28. 28.HCF of 84 and 77 =
  29. 29.HCF of 40 and 60 =
  30. 30.HCF of 12 and 54 =
  31. 31.HCF of 128 and 272 =
  32. 32.HCF of 51 and 57 =
  33. 33.HCF of 15 and 27 =
  34. 34.HCF of 154 and 42 =
  35. 35.HCF of 72 and 156 =
  36. 36.HCF of 24 and 20 =
  37. 37.HCF of 100 and 425 =
  38. 38.HCF of 120 and 144 =
  39. 39.HCF of 432 and 264 =
  40. 40.HCF of 30 and 72 =

Answer key

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

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