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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 470 · 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 391 and 322 =
  2. 2.HCF of 80 and 100 =
  3. 3.HCF of 342 and 247 =
  4. 4.HCF of 272 and 128 =
  5. 5.HCF of 80 and 75 =
  6. 6.HCF of 357 and 210 =
  7. 7.HCF of 28 and 12 =
  8. 8.HCF of 10 and 22 =
  9. 9.HCF of 126 and 306 =
  10. 10.HCF of 154 and 440 =
  11. 11.HCF of 85 and 68 =
  12. 12.HCF of 224 and 210 =
  13. 13.HCF of 96 and 114 =
  14. 14.HCF of 100 and 55 =
  15. 15.HCF of 117 and 144 =
  16. 16.HCF of 76 and 247 =
  17. 17.HCF of 255 and 68 =
  18. 18.HCF of 24 and 28 =
  19. 19.HCF of 40 and 22 =
  20. 20.HCF of 209 and 57 =
  21. 21.HCF of 36 and 81 =
  22. 22.HCF of 34 and 289 =
  23. 23.HCF of 266 and 252 =
  24. 24.HCF of 80 and 45 =
  25. 25.HCF of 70 and 40 =
  26. 26.HCF of 54 and 39 =
  27. 27.HCF of 234 and 198 =
  28. 28.HCF of 72 and 120 =
  29. 29.HCF of 120 and 340 =
  30. 30.HCF of 133 and 56 =
  31. 31.HCF of 380 and 200 =
  32. 32.HCF of 135 and 120 =
  33. 33.HCF of 209 and 95 =
  34. 34.HCF of 68 and 187 =
  35. 35.HCF of 75 and 325 =
  36. 36.HCF of 342 and 234 =
  37. 37.HCF of 361 and 228 =
  38. 38.HCF of 342 and 95 =
  39. 39.HCF of 25 and 55 =
  40. 40.HCF of 304 and 80 =

Answer key

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

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