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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 687 · 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 112 and 63 =
  2. 2.HCF of 342 and 126 =
  3. 3.HCF of 220 and 300 =
  4. 4.HCF of 54 and 84 =
  5. 5.HCF of 51 and 272 =
  6. 6.HCF of 340 and 323 =
  7. 7.HCF of 115 and 322 =
  8. 8.HCF of 168 and 180 =
  9. 9.HCF of 105 and 45 =
  10. 10.HCF of 12 and 39 =
  11. 11.HCF of 30 and 27 =
  12. 12.HCF of 270 and 144 =
  13. 13.HCF of 121 and 55 =
  14. 14.HCF of 299 and 345 =
  15. 15.HCF of 72 and 28 =
  16. 16.HCF of 154 and 280 =
  17. 17.HCF of 52 and 91 =
  18. 18.HCF of 240 and 32 =
  19. 19.HCF of 78 and 91 =
  20. 20.HCF of 90 and 40 =
  21. 21.HCF of 34 and 323 =
  22. 22.HCF of 187 and 255 =
  23. 23.HCF of 391 and 414 =
  24. 24.HCF of 180 and 285 =
  25. 25.HCF of 285 and 133 =
  26. 26.HCF of 136 and 187 =
  27. 27.HCF of 342 and 216 =
  28. 28.HCF of 102 and 12 =
  29. 29.HCF of 230 and 391 =
  30. 30.HCF of 360 and 54 =
  31. 31.HCF of 10 and 55 =
  32. 32.HCF of 342 and 324 =
  33. 33.HCF of 72 and 228 =
  34. 34.HCF of 136 and 64 =
  35. 35.HCF of 117 and 171 =
  36. 36.HCF of 125 and 50 =
  37. 37.HCF of 160 and 152 =
  38. 38.HCF of 187 and 153 =
  39. 39.HCF of 24 and 68 =
  40. 40.HCF of 160 and 100 =

Answer key

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

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