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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 215 · 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 260 and 400 =
  2. 2.HCF of 190 and 70 =
  3. 3.HCF of 361 and 171 =
  4. 4.HCF of 120 and 144 =
  5. 5.HCF of 247 and 323 =
  6. 6.HCF of 108 and 30 =
  7. 7.HCF of 33 and 44 =
  8. 8.HCF of 30 and 66 =
  9. 9.HCF of 12 and 45 =
  10. 10.HCF of 100 and 320 =
  11. 11.HCF of 30 and 45 =
  12. 12.HCF of 110 and 50 =
  13. 13.HCF of 90 and 42 =
  14. 14.HCF of 68 and 44 =
  15. 15.HCF of 91 and 98 =
  16. 16.HCF of 437 and 161 =
  17. 17.HCF of 115 and 207 =
  18. 18.HCF of 57 and 54 =
  19. 19.HCF of 260 and 120 =
  20. 20.HCF of 135 and 126 =
  21. 21.HCF of 110 and 286 =
  22. 22.HCF of 96 and 42 =
  23. 23.HCF of 156 and 168 =
  24. 24.HCF of 57 and 15 =
  25. 25.HCF of 27 and 33 =
  26. 26.HCF of 126 and 133 =
  27. 27.HCF of 230 and 253 =
  28. 28.HCF of 100 and 320 =
  29. 29.HCF of 221 and 104 =
  30. 30.HCF of 60 and 260 =
  31. 31.HCF of 204 and 168 =
  32. 32.HCF of 154 and 264 =
  33. 33.HCF of 54 and 24 =
  34. 34.HCF of 120 and 384 =
  35. 35.HCF of 200 and 130 =
  36. 36.HCF of 44 and 143 =
  37. 37.HCF of 25 and 45 =
  38. 38.HCF of 49 and 70 =
  39. 39.HCF of 35 and 15 =
  40. 40.HCF of 75 and 45 =

Answer key

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

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