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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 679 · 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 30 and 78 =
  2. 2.HCF of 216 and 342 =
  3. 3.HCF of 27 and 15 =
  4. 4.HCF of 91 and 49 =
  5. 5.HCF of 184 and 253 =
  6. 6.HCF of 144 and 126 =
  7. 7.HCF of 286 and 176 =
  8. 8.HCF of 25 and 40 =
  9. 9.HCF of 30 and 110 =
  10. 10.HCF of 55 and 121 =
  11. 11.HCF of 88 and 136 =
  12. 12.HCF of 152 and 40 =
  13. 13.HCF of 156 and 144 =
  14. 14.HCF of 24 and 28 =
  15. 15.HCF of 70 and 50 =
  16. 16.HCF of 182 and 112 =
  17. 17.HCF of 12 and 52 =
  18. 18.HCF of 68 and 44 =
  19. 19.HCF of 88 and 209 =
  20. 20.HCF of 12 and 51 =
  21. 21.HCF of 330 and 154 =
  22. 22.HCF of 240 and 105 =
  23. 23.HCF of 323 and 34 =
  24. 24.HCF of 55 and 187 =
  25. 25.HCF of 100 and 425 =
  26. 26.HCF of 52 and 28 =
  27. 27.HCF of 54 and 78 =
  28. 28.HCF of 12 and 10 =
  29. 29.HCF of 105 and 165 =
  30. 30.HCF of 66 and 54 =
  31. 31.HCF of 84 and 357 =
  32. 32.HCF of 45 and 285 =
  33. 33.HCF of 85 and 289 =
  34. 34.HCF of 456 and 72 =
  35. 35.HCF of 40 and 75 =
  36. 36.HCF of 160 and 88 =
  37. 37.HCF of 126 and 270 =
  38. 38.HCF of 220 and 140 =
  39. 39.HCF of 48 and 60 =
  40. 40.HCF of 77 and 126 =

Answer key

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

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