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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 484 · 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 225 and 60 =
  2. 2.HCF of 153 and 180 =
  3. 3.HCF of 8 and 20 =
  4. 4.HCF of 165 and 210 =
  5. 5.HCF of 105 and 60 =
  6. 6.HCF of 9 and 12 =
  7. 7.HCF of 32 and 20 =
  8. 8.HCF of 42 and 63 =
  9. 9.HCF of 112 and 35 =
  10. 10.HCF of 138 and 299 =
  11. 11.HCF of 102 and 42 =
  12. 12.HCF of 36 and 34 =
  13. 13.HCF of 57 and 45 =
  14. 14.HCF of 168 and 288 =
  15. 15.HCF of 255 and 119 =
  16. 16.HCF of 44 and 40 =
  17. 17.HCF of 110 and 242 =
  18. 18.HCF of 66 and 12 =
  19. 19.HCF of 99 and 90 =
  20. 20.HCF of 36 and 56 =
  21. 21.HCF of 160 and 140 =
  22. 22.HCF of 143 and 110 =
  23. 23.HCF of 35 and 42 =
  24. 24.HCF of 414 and 115 =
  25. 25.HCF of 68 and 24 =
  26. 26.HCF of 26 and 18 =
  27. 27.HCF of 169 and 234 =
  28. 28.HCF of 112 and 238 =
  29. 29.HCF of 304 and 48 =
  30. 30.HCF of 264 and 168 =
  31. 31.HCF of 200 and 75 =
  32. 32.HCF of 99 and 22 =
  33. 33.HCF of 210 and 28 =
  34. 34.HCF of 115 and 299 =
  35. 35.HCF of 209 and 77 =
  36. 36.HCF of 77 and 28 =
  37. 37.HCF of 140 and 400 =
  38. 38.HCF of 208 and 176 =
  39. 39.HCF of 84 and 72 =
  40. 40.HCF of 176 and 418 =

Answer key

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

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