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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 622 · 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 160 and 136 =
  2. 2.HCF of 80 and 95 =
  3. 3.HCF of 25 and 10 =
  4. 4.HCF of 125 and 275 =
  5. 5.HCF of 342 and 252 =
  6. 6.HCF of 130 and 100 =
  7. 7.HCF of 30 and 39 =
  8. 8.HCF of 14 and 20 =
  9. 9.HCF of 400 and 180 =
  10. 10.HCF of 39 and 21 =
  11. 11.HCF of 48 and 33 =
  12. 12.HCF of 90 and 65 =
  13. 13.HCF of 171 and 76 =
  14. 14.HCF of 102 and 85 =
  15. 15.HCF of 15 and 12 =
  16. 16.HCF of 102 and 78 =
  17. 17.HCF of 306 and 85 =
  18. 18.HCF of 81 and 18 =
  19. 19.HCF of 162 and 234 =
  20. 20.HCF of 42 and 70 =
  21. 21.HCF of 76 and 8 =
  22. 22.HCF of 114 and 247 =
  23. 23.HCF of 120 and 102 =
  24. 24.HCF of 85 and 272 =
  25. 25.HCF of 315 and 357 =
  26. 26.HCF of 187 and 221 =
  27. 27.HCF of 36 and 45 =
  28. 28.HCF of 115 and 322 =
  29. 29.HCF of 414 and 391 =
  30. 30.HCF of 440 and 418 =
  31. 31.HCF of 133 and 38 =
  32. 32.HCF of 171 and 209 =
  33. 33.HCF of 33 and 9 =
  34. 34.HCF of 500 and 75 =
  35. 35.HCF of 42 and 189 =
  36. 36.HCF of 238 and 85 =
  37. 37.HCF of 65 and 80 =
  38. 38.HCF of 180 and 228 =
  39. 39.HCF of 120 and 45 =
  40. 40.HCF of 28 and 48 =

Answer key

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

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