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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 562 · 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 72 and 168 =
  2. 2.HCF of 154 and 187 =
  3. 3.HCF of 90 and 63 =
  4. 4.HCF of 84 and 63 =
  5. 5.HCF of 220 and 360 =
  6. 6.HCF of 342 and 162 =
  7. 7.HCF of 112 and 266 =
  8. 8.HCF of 104 and 24 =
  9. 9.HCF of 200 and 275 =
  10. 10.HCF of 48 and 44 =
  11. 11.HCF of 39 and 6 =
  12. 12.HCF of 304 and 144 =
  13. 13.HCF of 135 and 240 =
  14. 14.HCF of 60 and 204 =
  15. 15.HCF of 48 and 88 =
  16. 16.HCF of 70 and 170 =
  17. 17.HCF of 36 and 76 =
  18. 18.HCF of 153 and 90 =
  19. 19.HCF of 75 and 210 =
  20. 20.HCF of 65 and 15 =
  21. 21.HCF of 289 and 221 =
  22. 22.HCF of 27 and 42 =
  23. 23.HCF of 90 and 75 =
  24. 24.HCF of 384 and 264 =
  25. 25.HCF of 15 and 48 =
  26. 26.HCF of 48 and 204 =
  27. 27.HCF of 80 and 96 =
  28. 28.HCF of 70 and 120 =
  29. 29.HCF of 117 and 108 =
  30. 30.HCF of 84 and 98 =
  31. 31.HCF of 75 and 125 =
  32. 32.HCF of 114 and 120 =
  33. 33.HCF of 36 and 38 =
  34. 34.HCF of 45 and 27 =
  35. 35.HCF of 45 and 60 =
  36. 36.HCF of 77 and 66 =
  37. 37.HCF of 168 and 105 =
  38. 38.HCF of 72 and 45 =
  39. 39.HCF of 80 and 224 =
  40. 40.HCF of 36 and 102 =

Answer key

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

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