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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 436 · 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 187 =
  2. 2.HCF of 15 and 54 =
  3. 3.HCF of 56 and 44 =
  4. 4.HCF of 78 and 114 =
  5. 5.HCF of 330 and 418 =
  6. 6.HCF of 153 and 117 =
  7. 7.HCF of 270 and 75 =
  8. 8.HCF of 221 and 52 =
  9. 9.HCF of 40 and 64 =
  10. 10.HCF of 98 and 280 =
  11. 11.HCF of 391 and 437 =
  12. 12.HCF of 38 and 12 =
  13. 13.HCF of 323 and 34 =
  14. 14.HCF of 210 and 225 =
  15. 15.HCF of 169 and 39 =
  16. 16.HCF of 104 and 160 =
  17. 17.HCF of 76 and 64 =
  18. 18.HCF of 240 and 100 =
  19. 19.HCF of 285 and 120 =
  20. 20.HCF of 112 and 136 =
  21. 21.HCF of 418 and 66 =
  22. 22.HCF of 120 and 75 =
  23. 23.HCF of 272 and 320 =
  24. 24.HCF of 140 and 220 =
  25. 25.HCF of 112 and 144 =
  26. 26.HCF of 64 and 20 =
  27. 27.HCF of 209 and 95 =
  28. 28.HCF of 63 and 162 =
  29. 29.HCF of 195 and 52 =
  30. 30.HCF of 8 and 28 =
  31. 31.HCF of 171 and 304 =
  32. 32.HCF of 84 and 192 =
  33. 33.HCF of 102 and 18 =
  34. 34.HCF of 34 and 289 =
  35. 35.HCF of 180 and 80 =
  36. 36.HCF of 169 and 182 =
  37. 37.HCF of 418 and 198 =
  38. 38.HCF of 68 and 323 =
  39. 39.HCF of 126 and 273 =
  40. 40.HCF of 105 and 270 =

Answer key

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

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