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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 485 · 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 323 and 342 =
  2. 2.HCF of 272 and 64 =
  3. 3.HCF of 125 and 150 =
  4. 4.HCF of 14 and 22 =
  5. 5.HCF of 374 and 264 =
  6. 6.HCF of 175 and 150 =
  7. 7.HCF of 196 and 238 =
  8. 8.HCF of 119 and 289 =
  9. 9.HCF of 255 and 105 =
  10. 10.HCF of 35 and 75 =
  11. 11.HCF of 285 and 225 =
  12. 12.HCF of 45 and 81 =
  13. 13.HCF of 221 and 102 =
  14. 14.HCF of 210 and 154 =
  15. 15.HCF of 252 and 238 =
  16. 16.HCF of 77 and 84 =
  17. 17.HCF of 418 and 352 =
  18. 18.HCF of 54 and 24 =
  19. 19.HCF of 52 and 32 =
  20. 20.HCF of 125 and 75 =
  21. 21.HCF of 209 and 228 =
  22. 22.HCF of 128 and 104 =
  23. 23.HCF of 286 and 352 =
  24. 24.HCF of 192 and 216 =
  25. 25.HCF of 221 and 39 =
  26. 26.HCF of 100 and 75 =
  27. 27.HCF of 68 and 289 =
  28. 28.HCF of 238 and 51 =
  29. 29.HCF of 153 and 171 =
  30. 30.HCF of 63 and 72 =
  31. 31.HCF of 54 and 342 =
  32. 32.HCF of 143 and 99 =
  33. 33.HCF of 54 and 252 =
  34. 34.HCF of 105 and 91 =
  35. 35.HCF of 247 and 52 =
  36. 36.HCF of 247 and 114 =
  37. 37.HCF of 147 and 357 =
  38. 38.HCF of 270 and 144 =
  39. 39.HCF of 102 and 120 =
  40. 40.HCF of 135 and 99 =

Answer key

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

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