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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 871 · 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 187 and 255 =
  2. 2.HCF of 247 and 182 =
  3. 3.HCF of 72 and 90 =
  4. 4.HCF of 84 and 119 =
  5. 5.HCF of 140 and 130 =
  6. 6.HCF of 88 and 16 =
  7. 7.HCF of 208 and 176 =
  8. 8.HCF of 12 and 14 =
  9. 9.HCF of 51 and 33 =
  10. 10.HCF of 35 and 84 =
  11. 11.HCF of 14 and 22 =
  12. 12.HCF of 119 and 140 =
  13. 13.HCF of 175 and 75 =
  14. 14.HCF of 70 and 45 =
  15. 15.HCF of 32 and 18 =
  16. 16.HCF of 10 and 75 =
  17. 17.HCF of 40 and 24 =
  18. 18.HCF of 66 and 154 =
  19. 19.HCF of 49 and 84 =
  20. 20.HCF of 90 and 65 =
  21. 21.HCF of 88 and 40 =
  22. 22.HCF of 16 and 56 =
  23. 23.HCF of 196 and 42 =
  24. 24.HCF of 104 and 117 =
  25. 25.HCF of 187 and 119 =
  26. 26.HCF of 104 and 48 =
  27. 27.HCF of 78 and 108 =
  28. 28.HCF of 6 and 21 =
  29. 29.HCF of 280 and 126 =
  30. 30.HCF of 90 and 200 =
  31. 31.HCF of 39 and 48 =
  32. 32.HCF of 57 and 39 =
  33. 33.HCF of 45 and 126 =
  34. 34.HCF of 117 and 90 =
  35. 35.HCF of 35 and 56 =
  36. 36.HCF of 247 and 91 =
  37. 37.HCF of 330 and 44 =
  38. 38.HCF of 360 and 192 =
  39. 39.HCF of 75 and 65 =
  40. 40.HCF of 260 and 180 =

Answer key

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

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