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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 688 · 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 198 and 36 =
  2. 2.HCF of 437 and 92 =
  3. 3.HCF of 357 and 252 =
  4. 4.HCF of 130 and 170 =
  5. 5.HCF of 26 and 143 =
  6. 6.HCF of 270 and 342 =
  7. 7.HCF of 24 and 66 =
  8. 8.HCF of 72 and 68 =
  9. 9.HCF of 48 and 39 =
  10. 10.HCF of 76 and 16 =
  11. 11.HCF of 140 and 126 =
  12. 12.HCF of 352 and 330 =
  13. 13.HCF of 475 and 75 =
  14. 14.HCF of 26 and 16 =
  15. 15.HCF of 182 and 247 =
  16. 16.HCF of 35 and 55 =
  17. 17.HCF of 30 and 40 =
  18. 18.HCF of 84 and 66 =
  19. 19.HCF of 247 and 171 =
  20. 20.HCF of 304 and 96 =
  21. 21.HCF of 175 and 425 =
  22. 22.HCF of 90 and 25 =
  23. 23.HCF of 84 and 238 =
  24. 24.HCF of 68 and 323 =
  25. 25.HCF of 114 and 78 =
  26. 26.HCF of 286 and 88 =
  27. 27.HCF of 322 and 437 =
  28. 28.HCF of 153 and 68 =
  29. 29.HCF of 96 and 30 =
  30. 30.HCF of 252 and 342 =
  31. 31.HCF of 12 and 54 =
  32. 32.HCF of 75 and 210 =
  33. 33.HCF of 153 and 54 =
  34. 34.HCF of 108 and 114 =
  35. 35.HCF of 294 and 273 =
  36. 36.HCF of 96 and 408 =
  37. 37.HCF of 135 and 255 =
  38. 38.HCF of 437 and 368 =
  39. 39.HCF of 108 and 45 =
  40. 40.HCF of 78 and 65 =

Answer key

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

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