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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 588 · 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 140 and 154 =
  2. 2.HCF of 88 and 187 =
  3. 3.HCF of 456 and 288 =
  4. 4.HCF of 30 and 35 =
  5. 5.HCF of 20 and 85 =
  6. 6.HCF of 135 and 144 =
  7. 7.HCF of 54 and 153 =
  8. 8.HCF of 138 and 299 =
  9. 9.HCF of 60 and 52 =
  10. 10.HCF of 399 and 189 =
  11. 11.HCF of 475 and 425 =
  12. 12.HCF of 170 and 150 =
  13. 13.HCF of 176 and 198 =
  14. 14.HCF of 48 and 64 =
  15. 15.HCF of 90 and 35 =
  16. 16.HCF of 342 and 54 =
  17. 17.HCF of 60 and 40 =
  18. 18.HCF of 247 and 130 =
  19. 19.HCF of 30 and 20 =
  20. 20.HCF of 275 and 300 =
  21. 21.HCF of 80 and 180 =
  22. 22.HCF of 336 and 315 =
  23. 23.HCF of 80 and 44 =
  24. 24.HCF of 475 and 400 =
  25. 25.HCF of 14 and 26 =
  26. 26.HCF of 136 and 221 =
  27. 27.HCF of 374 and 440 =
  28. 28.HCF of 270 and 252 =
  29. 29.HCF of 45 and 12 =
  30. 30.HCF of 286 and 132 =
  31. 31.HCF of 42 and 39 =
  32. 32.HCF of 105 and 49 =
  33. 33.HCF of 45 and 25 =
  34. 34.HCF of 115 and 391 =
  35. 35.HCF of 22 and 24 =
  36. 36.HCF of 70 and 49 =
  37. 37.HCF of 147 and 105 =
  38. 38.HCF of 425 and 450 =
  39. 39.HCF of 144 and 153 =
  40. 40.HCF of 45 and 10 =

Answer key

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

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