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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 348 · 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 18 =
  2. 2.HCF of 66 and 209 =
  3. 3.HCF of 28 and 105 =
  4. 4.HCF of 55 and 40 =
  5. 5.HCF of 132 and 55 =
  6. 6.HCF of 18 and 20 =
  7. 7.HCF of 75 and 125 =
  8. 8.HCF of 198 and 440 =
  9. 9.HCF of 264 and 312 =
  10. 10.HCF of 375 and 350 =
  11. 11.HCF of 66 and 24 =
  12. 12.HCF of 153 and 171 =
  13. 13.HCF of 192 and 60 =
  14. 14.HCF of 140 and 320 =
  15. 15.HCF of 187 and 204 =
  16. 16.HCF of 225 and 120 =
  17. 17.HCF of 110 and 396 =
  18. 18.HCF of 161 and 46 =
  19. 19.HCF of 48 and 216 =
  20. 20.HCF of 208 and 256 =
  21. 21.HCF of 8 and 68 =
  22. 22.HCF of 110 and 33 =
  23. 23.HCF of 280 and 60 =
  24. 24.HCF of 80 and 224 =
  25. 25.HCF of 8 and 22 =
  26. 26.HCF of 300 and 175 =
  27. 27.HCF of 48 and 33 =
  28. 28.HCF of 60 and 64 =
  29. 29.HCF of 69 and 46 =
  30. 30.HCF of 85 and 45 =
  31. 31.HCF of 42 and 27 =
  32. 32.HCF of 18 and 114 =
  33. 33.HCF of 66 and 121 =
  34. 34.HCF of 136 and 16 =
  35. 35.HCF of 6 and 26 =
  36. 36.HCF of 110 and 60 =
  37. 37.HCF of 72 and 480 =
  38. 38.HCF of 66 and 96 =
  39. 39.HCF of 285 and 209 =
  40. 40.HCF of 70 and 154 =

Answer key

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

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