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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 323 · 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 42 and 108 =
  2. 2.HCF of 35 and 112 =
  3. 3.HCF of 456 and 264 =
  4. 4.HCF of 475 and 300 =
  5. 5.HCF of 26 and 40 =
  6. 6.HCF of 25 and 35 =
  7. 7.HCF of 189 and 336 =
  8. 8.HCF of 76 and 80 =
  9. 9.HCF of 63 and 153 =
  10. 10.HCF of 65 and 91 =
  11. 11.HCF of 56 and 21 =
  12. 12.HCF of 72 and 153 =
  13. 13.HCF of 165 and 75 =
  14. 14.HCF of 60 and 168 =
  15. 15.HCF of 184 and 299 =
  16. 16.HCF of 162 and 144 =
  17. 17.HCF of 28 and 16 =
  18. 18.HCF of 44 and 121 =
  19. 19.HCF of 63 and 357 =
  20. 20.HCF of 80 and 12 =
  21. 21.HCF of 175 and 225 =
  22. 22.HCF of 440 and 154 =
  23. 23.HCF of 14 and 21 =
  24. 24.HCF of 224 and 176 =
  25. 25.HCF of 84 and 156 =
  26. 26.HCF of 460 and 437 =
  27. 27.HCF of 182 and 140 =
  28. 28.HCF of 121 and 44 =
  29. 29.HCF of 6 and 15 =
  30. 30.HCF of 230 and 299 =
  31. 31.HCF of 54 and 48 =
  32. 32.HCF of 456 and 144 =
  33. 33.HCF of 90 and 195 =
  34. 34.HCF of 38 and 14 =
  35. 35.HCF of 325 and 375 =
  36. 36.HCF of 8 and 68 =
  37. 37.HCF of 45 and 165 =
  38. 38.HCF of 272 and 208 =
  39. 39.HCF of 126 and 324 =
  40. 40.HCF of 336 and 63 =

Answer key

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

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