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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 593 · 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 135 and 18 =
  2. 2.HCF of 91 and 52 =
  3. 3.HCF of 130 and 110 =
  4. 4.HCF of 120 and 260 =
  5. 5.HCF of 34 and 4 =
  6. 6.HCF of 54 and 84 =
  7. 7.HCF of 276 and 299 =
  8. 8.HCF of 105 and 91 =
  9. 9.HCF of 315 and 336 =
  10. 10.HCF of 44 and 330 =
  11. 11.HCF of 153 and 34 =
  12. 12.HCF of 100 and 280 =
  13. 13.HCF of 340 and 153 =
  14. 14.HCF of 99 and 187 =
  15. 15.HCF of 95 and 38 =
  16. 16.HCF of 208 and 112 =
  17. 17.HCF of 20 and 14 =
  18. 18.HCF of 322 and 115 =
  19. 19.HCF of 15 and 9 =
  20. 20.HCF of 38 and 26 =
  21. 21.HCF of 114 and 18 =
  22. 22.HCF of 36 and 30 =
  23. 23.HCF of 210 and 285 =
  24. 24.HCF of 418 and 198 =
  25. 25.HCF of 24 and 108 =
  26. 26.HCF of 24 and 9 =
  27. 27.HCF of 18 and 10 =
  28. 28.HCF of 200 and 220 =
  29. 29.HCF of 170 and 70 =
  30. 30.HCF of 294 and 399 =
  31. 31.HCF of 56 and 16 =
  32. 32.HCF of 255 and 90 =
  33. 33.HCF of 45 and 55 =
  34. 34.HCF of 192 and 60 =
  35. 35.HCF of 36 and 153 =
  36. 36.HCF of 30 and 4 =
  37. 37.HCF of 54 and 84 =
  38. 38.HCF of 22 and 26 =
  39. 39.HCF of 154 and 209 =
  40. 40.HCF of 12 and 22 =

Answer key

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

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