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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 168 · 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 115 and 161 =
  2. 2.HCF of 315 and 147 =
  3. 3.HCF of 195 and 52 =
  4. 4.HCF of 184 and 115 =
  5. 5.HCF of 54 and 120 =
  6. 6.HCF of 275 and 450 =
  7. 7.HCF of 400 and 475 =
  8. 8.HCF of 72 and 168 =
  9. 9.HCF of 65 and 80 =
  10. 10.HCF of 57 and 36 =
  11. 11.HCF of 95 and 15 =
  12. 12.HCF of 221 and 153 =
  13. 13.HCF of 336 and 273 =
  14. 14.HCF of 162 and 198 =
  15. 15.HCF of 300 and 160 =
  16. 16.HCF of 360 and 162 =
  17. 17.HCF of 175 and 375 =
  18. 18.HCF of 105 and 42 =
  19. 19.HCF of 95 and 30 =
  20. 20.HCF of 50 and 110 =
  21. 21.HCF of 45 and 80 =
  22. 22.HCF of 184 and 115 =
  23. 23.HCF of 64 and 68 =
  24. 24.HCF of 150 and 175 =
  25. 25.HCF of 12 and 10 =
  26. 26.HCF of 384 and 264 =
  27. 27.HCF of 55 and 50 =
  28. 28.HCF of 273 and 315 =
  29. 29.HCF of 475 and 325 =
  30. 30.HCF of 57 and 36 =
  31. 31.HCF of 396 and 418 =
  32. 32.HCF of 64 and 272 =
  33. 33.HCF of 280 and 126 =
  34. 34.HCF of 374 and 352 =
  35. 35.HCF of 14 and 38 =
  36. 36.HCF of 88 and 64 =
  37. 37.HCF of 84 and 90 =
  38. 38.HCF of 72 and 162 =
  39. 39.HCF of 133 and 35 =
  40. 40.HCF of 168 and 63 =

Answer key

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

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