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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 794 · 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 44 and 48 =
  2. 2.HCF of 336 and 63 =
  3. 3.HCF of 46 and 391 =
  4. 4.HCF of 36 and 99 =
  5. 5.HCF of 299 and 115 =
  6. 6.HCF of 63 and 105 =
  7. 7.HCF of 70 and 55 =
  8. 8.HCF of 120 and 336 =
  9. 9.HCF of 190 and 133 =
  10. 10.HCF of 56 and 16 =
  11. 11.HCF of 190 and 150 =
  12. 12.HCF of 80 and 25 =
  13. 13.HCF of 136 and 187 =
  14. 14.HCF of 342 and 270 =
  15. 15.HCF of 42 and 78 =
  16. 16.HCF of 30 and 32 =
  17. 17.HCF of 399 and 252 =
  18. 18.HCF of 110 and 140 =
  19. 19.HCF of 168 and 357 =
  20. 20.HCF of 21 and 91 =
  21. 21.HCF of 240 and 408 =
  22. 22.HCF of 102 and 120 =
  23. 23.HCF of 20 and 32 =
  24. 24.HCF of 68 and 85 =
  25. 25.HCF of 121 and 143 =
  26. 26.HCF of 24 and 204 =
  27. 27.HCF of 36 and 40 =
  28. 28.HCF of 210 and 225 =
  29. 29.HCF of 78 and 108 =
  30. 30.HCF of 112 and 49 =
  31. 31.HCF of 66 and 154 =
  32. 32.HCF of 25 and 65 =
  33. 33.HCF of 165 and 255 =
  34. 34.HCF of 88 and 80 =
  35. 35.HCF of 48 and 272 =
  36. 36.HCF of 255 and 289 =
  37. 37.HCF of 260 and 400 =
  38. 38.HCF of 115 and 368 =
  39. 39.HCF of 44 and 242 =
  40. 40.HCF of 32 and 136 =

Answer key

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

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