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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 454 · 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 209 and 171 =
  2. 2.HCF of 200 and 425 =
  3. 3.HCF of 36 and 48 =
  4. 4.HCF of 84 and 18 =
  5. 5.HCF of 6 and 15 =
  6. 6.HCF of 38 and 30 =
  7. 7.HCF of 56 and 24 =
  8. 8.HCF of 45 and 171 =
  9. 9.HCF of 475 and 350 =
  10. 10.HCF of 38 and 36 =
  11. 11.HCF of 14 and 63 =
  12. 12.HCF of 154 and 264 =
  13. 13.HCF of 418 and 154 =
  14. 14.HCF of 35 and 45 =
  15. 15.HCF of 110 and 418 =
  16. 16.HCF of 12 and 90 =
  17. 17.HCF of 84 and 91 =
  18. 18.HCF of 35 and 80 =
  19. 19.HCF of 315 and 84 =
  20. 20.HCF of 323 and 342 =
  21. 21.HCF of 6 and 51 =
  22. 22.HCF of 38 and 6 =
  23. 23.HCF of 260 and 40 =
  24. 24.HCF of 95 and 80 =
  25. 25.HCF of 30 and 200 =
  26. 26.HCF of 323 and 136 =
  27. 27.HCF of 119 and 289 =
  28. 28.HCF of 40 and 55 =
  29. 29.HCF of 60 and 54 =
  30. 30.HCF of 21 and 18 =
  31. 31.HCF of 192 and 228 =
  32. 32.HCF of 60 and 190 =
  33. 33.HCF of 272 and 187 =
  34. 34.HCF of 152 and 171 =
  35. 35.HCF of 20 and 36 =
  36. 36.HCF of 70 and 266 =
  37. 37.HCF of 361 and 266 =
  38. 38.HCF of 91 and 169 =
  39. 39.HCF of 247 and 260 =
  40. 40.HCF of 306 and 360 =

Answer key

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

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