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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 769 · 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 80 and 300 =
  2. 2.HCF of 168 and 432 =
  3. 3.HCF of 56 and 126 =
  4. 4.HCF of 14 and 35 =
  5. 5.HCF of 75 and 45 =
  6. 6.HCF of 90 and 95 =
  7. 7.HCF of 120 and 54 =
  8. 8.HCF of 143 and 44 =
  9. 9.HCF of 110 and 66 =
  10. 10.HCF of 190 and 323 =
  11. 11.HCF of 57 and 6 =
  12. 12.HCF of 180 and 80 =
  13. 13.HCF of 30 and 33 =
  14. 14.HCF of 26 and 20 =
  15. 15.HCF of 104 and 39 =
  16. 16.HCF of 40 and 32 =
  17. 17.HCF of 95 and 50 =
  18. 18.HCF of 39 and 143 =
  19. 19.HCF of 95 and 38 =
  20. 20.HCF of 66 and 440 =
  21. 21.HCF of 78 and 65 =
  22. 22.HCF of 39 and 9 =
  23. 23.HCF of 108 and 30 =
  24. 24.HCF of 21 and 112 =
  25. 25.HCF of 21 and 18 =
  26. 26.HCF of 154 and 176 =
  27. 27.HCF of 238 and 210 =
  28. 28.HCF of 42 and 18 =
  29. 29.HCF of 24 and 180 =
  30. 30.HCF of 44 and 28 =
  31. 31.HCF of 253 and 207 =
  32. 32.HCF of 204 and 144 =
  33. 33.HCF of 171 and 117 =
  34. 34.HCF of 342 and 270 =
  35. 35.HCF of 105 and 56 =
  36. 36.HCF of 187 and 176 =
  37. 37.HCF of 54 and 153 =
  38. 38.HCF of 189 and 42 =
  39. 39.HCF of 168 and 266 =
  40. 40.HCF of 357 and 105 =

Answer key

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

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