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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 363 · 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 55 and 30 =
  2. 2.HCF of 68 and 16 =
  3. 3.HCF of 22 and 121 =
  4. 4.HCF of 323 and 38 =
  5. 5.HCF of 437 and 230 =
  6. 6.HCF of 360 and 100 =
  7. 7.HCF of 280 and 220 =
  8. 8.HCF of 20 and 14 =
  9. 9.HCF of 120 and 50 =
  10. 10.HCF of 196 and 238 =
  11. 11.HCF of 54 and 36 =
  12. 12.HCF of 288 and 272 =
  13. 13.HCF of 33 and 36 =
  14. 14.HCF of 252 and 70 =
  15. 15.HCF of 78 and 30 =
  16. 16.HCF of 154 and 143 =
  17. 17.HCF of 10 and 15 =
  18. 18.HCF of 95 and 133 =
  19. 19.HCF of 105 and 189 =
  20. 20.HCF of 396 and 418 =
  21. 21.HCF of 480 and 312 =
  22. 22.HCF of 32 and 68 =
  23. 23.HCF of 418 and 66 =
  24. 24.HCF of 336 and 264 =
  25. 25.HCF of 120 and 114 =
  26. 26.HCF of 64 and 240 =
  27. 27.HCF of 117 and 171 =
  28. 28.HCF of 112 and 40 =
  29. 29.HCF of 18 and 8 =
  30. 30.HCF of 25 and 10 =
  31. 31.HCF of 81 and 72 =
  32. 32.HCF of 180 and 170 =
  33. 33.HCF of 323 and 136 =
  34. 34.HCF of 216 and 306 =
  35. 35.HCF of 72 and 306 =
  36. 36.HCF of 84 and 98 =
  37. 37.HCF of 187 and 68 =
  38. 38.HCF of 450 and 175 =
  39. 39.HCF of 240 and 456 =
  40. 40.HCF of 299 and 207 =

Answer key

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

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