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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 160 · 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 253 =
  2. 2.HCF of 72 and 20 =
  3. 3.HCF of 49 and 70 =
  4. 4.HCF of 200 and 30 =
  5. 5.HCF of 391 and 414 =
  6. 6.HCF of 216 and 384 =
  7. 7.HCF of 68 and 28 =
  8. 8.HCF of 176 and 208 =
  9. 9.HCF of 25 and 35 =
  10. 10.HCF of 475 and 225 =
  11. 11.HCF of 70 and 160 =
  12. 12.HCF of 330 and 374 =
  13. 13.HCF of 408 and 336 =
  14. 14.HCF of 12 and 32 =
  15. 15.HCF of 85 and 323 =
  16. 16.HCF of 180 and 234 =
  17. 17.HCF of 153 and 171 =
  18. 18.HCF of 28 and 154 =
  19. 19.HCF of 52 and 12 =
  20. 20.HCF of 48 and 76 =
  21. 21.HCF of 14 and 133 =
  22. 22.HCF of 36 and 14 =
  23. 23.HCF of 77 and 28 =
  24. 24.HCF of 285 and 304 =
  25. 25.HCF of 184 and 207 =
  26. 26.HCF of 156 and 65 =
  27. 27.HCF of 75 and 270 =
  28. 28.HCF of 154 and 264 =
  29. 29.HCF of 72 and 90 =
  30. 30.HCF of 52 and 8 =
  31. 31.HCF of 84 and 189 =
  32. 32.HCF of 46 and 437 =
  33. 33.HCF of 105 and 357 =
  34. 34.HCF of 60 and 55 =
  35. 35.HCF of 66 and 120 =
  36. 36.HCF of 161 and 115 =
  37. 37.HCF of 95 and 40 =
  38. 38.HCF of 60 and 84 =
  39. 39.HCF of 176 and 286 =
  40. 40.HCF of 209 and 198 =

Answer key

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

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