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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 860 · 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 12 and 26 =
  2. 2.HCF of 391 and 368 =
  3. 3.HCF of 408 and 240 =
  4. 4.HCF of 437 and 299 =
  5. 5.HCF of 65 and 39 =
  6. 6.HCF of 210 and 231 =
  7. 7.HCF of 270 and 285 =
  8. 8.HCF of 6 and 4 =
  9. 9.HCF of 8 and 20 =
  10. 10.HCF of 342 and 90 =
  11. 11.HCF of 325 and 150 =
  12. 12.HCF of 60 and 285 =
  13. 13.HCF of 216 and 48 =
  14. 14.HCF of 40 and 34 =
  15. 15.HCF of 220 and 286 =
  16. 16.HCF of 247 and 130 =
  17. 17.HCF of 133 and 247 =
  18. 18.HCF of 15 and 51 =
  19. 19.HCF of 306 and 198 =
  20. 20.HCF of 6 and 14 =
  21. 21.HCF of 133 and 42 =
  22. 22.HCF of 88 and 112 =
  23. 23.HCF of 272 and 128 =
  24. 24.HCF of 84 and 132 =
  25. 25.HCF of 33 and 121 =
  26. 26.HCF of 112 and 98 =
  27. 27.HCF of 95 and 85 =
  28. 28.HCF of 14 and 133 =
  29. 29.HCF of 240 and 272 =
  30. 30.HCF of 152 and 32 =
  31. 31.HCF of 42 and 12 =
  32. 32.HCF of 57 and 30 =
  33. 33.HCF of 255 and 221 =
  34. 34.HCF of 154 and 55 =
  35. 35.HCF of 78 and 54 =
  36. 36.HCF of 84 and 30 =
  37. 37.HCF of 55 and 143 =
  38. 38.HCF of 34 and 18 =
  39. 39.HCF of 20 and 76 =
  40. 40.HCF of 264 and 154 =

Answer key

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

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