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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 738 · 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 280 and 154 =
  2. 2.HCF of 30 and 95 =
  3. 3.HCF of 16 and 28 =
  4. 4.HCF of 100 and 225 =
  5. 5.HCF of 38 and 209 =
  6. 6.HCF of 57 and 12 =
  7. 7.HCF of 15 and 42 =
  8. 8.HCF of 475 and 300 =
  9. 9.HCF of 48 and 136 =
  10. 10.HCF of 85 and 30 =
  11. 11.HCF of 300 and 175 =
  12. 12.HCF of 140 and 260 =
  13. 13.HCF of 12 and 30 =
  14. 14.HCF of 75 and 135 =
  15. 15.HCF of 255 and 289 =
  16. 16.HCF of 475 and 275 =
  17. 17.HCF of 14 and 35 =
  18. 18.HCF of 70 and 80 =
  19. 19.HCF of 90 and 63 =
  20. 20.HCF of 42 and 108 =
  21. 21.HCF of 125 and 400 =
  22. 22.HCF of 342 and 133 =
  23. 23.HCF of 154 and 66 =
  24. 24.HCF of 210 and 165 =
  25. 25.HCF of 160 and 136 =
  26. 26.HCF of 54 and 171 =
  27. 27.HCF of 108 and 306 =
  28. 28.HCF of 100 and 130 =
  29. 29.HCF of 21 and 56 =
  30. 30.HCF of 42 and 78 =
  31. 31.HCF of 72 and 264 =
  32. 32.HCF of 6 and 14 =
  33. 33.HCF of 105 and 120 =
  34. 34.HCF of 84 and 60 =
  35. 35.HCF of 90 and 114 =
  36. 36.HCF of 25 and 60 =
  37. 37.HCF of 135 and 144 =
  38. 38.HCF of 78 and 18 =
  39. 39.HCF of 175 and 200 =
  40. 40.HCF of 60 and 75 =

Answer key

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

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