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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 379 · 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 54 and 171 =
  2. 2.HCF of 220 and 380 =
  3. 3.HCF of 273 and 231 =
  4. 4.HCF of 136 and 119 =
  5. 5.HCF of 21 and 12 =
  6. 6.HCF of 33 and 12 =
  7. 7.HCF of 285 and 266 =
  8. 8.HCF of 42 and 12 =
  9. 9.HCF of 55 and 70 =
  10. 10.HCF of 96 and 102 =
  11. 11.HCF of 140 and 300 =
  12. 12.HCF of 56 and 24 =
  13. 13.HCF of 130 and 140 =
  14. 14.HCF of 44 and 48 =
  15. 15.HCF of 30 and 35 =
  16. 16.HCF of 39 and 9 =
  17. 17.HCF of 52 and 64 =
  18. 18.HCF of 165 and 240 =
  19. 19.HCF of 34 and 14 =
  20. 20.HCF of 100 and 60 =
  21. 21.HCF of 85 and 30 =
  22. 22.HCF of 180 and 48 =
  23. 23.HCF of 192 and 272 =
  24. 24.HCF of 133 and 84 =
  25. 25.HCF of 70 and 21 =
  26. 26.HCF of 48 and 66 =
  27. 27.HCF of 192 and 84 =
  28. 28.HCF of 414 and 115 =
  29. 29.HCF of 294 and 63 =
  30. 30.HCF of 144 and 32 =
  31. 31.HCF of 330 and 88 =
  32. 32.HCF of 312 and 456 =
  33. 33.HCF of 171 and 117 =
  34. 34.HCF of 10 and 85 =
  35. 35.HCF of 315 and 357 =
  36. 36.HCF of 136 and 51 =
  37. 37.HCF of 119 and 21 =
  38. 38.HCF of 112 and 72 =
  39. 39.HCF of 68 and 187 =
  40. 40.HCF of 63 and 54 =

Answer key

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

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