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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 349 · 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 14 and 12 =
  2. 2.HCF of 240 and 285 =
  3. 3.HCF of 80 and 56 =
  4. 4.HCF of 24 and 20 =
  5. 5.HCF of 171 and 95 =
  6. 6.HCF of 28 and 63 =
  7. 7.HCF of 220 and 187 =
  8. 8.HCF of 36 and 15 =
  9. 9.HCF of 65 and 45 =
  10. 10.HCF of 28 and 35 =
  11. 11.HCF of 10 and 8 =
  12. 12.HCF of 425 and 450 =
  13. 13.HCF of 90 and 216 =
  14. 14.HCF of 315 and 147 =
  15. 15.HCF of 6 and 26 =
  16. 16.HCF of 80 and 260 =
  17. 17.HCF of 96 and 114 =
  18. 18.HCF of 357 and 126 =
  19. 19.HCF of 198 and 270 =
  20. 20.HCF of 112 and 32 =
  21. 21.HCF of 98 and 182 =
  22. 22.HCF of 189 and 168 =
  23. 23.HCF of 255 and 180 =
  24. 24.HCF of 40 and 25 =
  25. 25.HCF of 221 and 170 =
  26. 26.HCF of 306 and 252 =
  27. 27.HCF of 85 and 272 =
  28. 28.HCF of 361 and 114 =
  29. 29.HCF of 8 and 28 =
  30. 30.HCF of 42 and 96 =
  31. 31.HCF of 128 and 112 =
  32. 32.HCF of 22 and 77 =
  33. 33.HCF of 95 and 75 =
  34. 34.HCF of 10 and 28 =
  35. 35.HCF of 6 and 26 =
  36. 36.HCF of 125 and 200 =
  37. 37.HCF of 374 and 396 =
  38. 38.HCF of 195 and 255 =
  39. 39.HCF of 80 and 176 =
  40. 40.HCF of 95 and 55 =

Answer key

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

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