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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 783 · 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 176 and 240 =
  2. 2.HCF of 84 and 357 =
  3. 3.HCF of 66 and 54 =
  4. 4.HCF of 99 and 55 =
  5. 5.HCF of 120 and 18 =
  6. 6.HCF of 60 and 135 =
  7. 7.HCF of 357 and 126 =
  8. 8.HCF of 304 and 57 =
  9. 9.HCF of 475 and 200 =
  10. 10.HCF of 220 and 198 =
  11. 11.HCF of 234 and 126 =
  12. 12.HCF of 375 and 425 =
  13. 13.HCF of 68 and 119 =
  14. 14.HCF of 64 and 112 =
  15. 15.HCF of 28 and 30 =
  16. 16.HCF of 36 and 54 =
  17. 17.HCF of 120 and 144 =
  18. 18.HCF of 60 and 52 =
  19. 19.HCF of 42 and 57 =
  20. 20.HCF of 221 and 289 =
  21. 21.HCF of 171 and 135 =
  22. 22.HCF of 153 and 340 =
  23. 23.HCF of 121 and 66 =
  24. 24.HCF of 15 and 42 =
  25. 25.HCF of 91 and 140 =
  26. 26.HCF of 289 and 102 =
  27. 27.HCF of 168 and 108 =
  28. 28.HCF of 24 and 57 =
  29. 29.HCF of 320 and 300 =
  30. 30.HCF of 81 and 90 =
  31. 31.HCF of 44 and 80 =
  32. 32.HCF of 285 and 266 =
  33. 33.HCF of 22 and 209 =
  34. 34.HCF of 39 and 27 =
  35. 35.HCF of 140 and 80 =
  36. 36.HCF of 10 and 22 =
  37. 37.HCF of 400 and 260 =
  38. 38.HCF of 204 and 144 =
  39. 39.HCF of 30 and 66 =
  40. 40.HCF of 204 and 192 =

Answer key

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

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