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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 209 · 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 105 and 225 =
  2. 2.HCF of 54 and 144 =
  3. 3.HCF of 156 and 84 =
  4. 4.HCF of 18 and 38 =
  5. 5.HCF of 70 and 50 =
  6. 6.HCF of 192 and 216 =
  7. 7.HCF of 24 and 60 =
  8. 8.HCF of 289 and 119 =
  9. 9.HCF of 45 and 150 =
  10. 10.HCF of 26 and 36 =
  11. 11.HCF of 264 and 144 =
  12. 12.HCF of 48 and 56 =
  13. 13.HCF of 38 and 323 =
  14. 14.HCF of 14 and 77 =
  15. 15.HCF of 105 and 91 =
  16. 16.HCF of 72 and 30 =
  17. 17.HCF of 78 and 91 =
  18. 18.HCF of 286 and 330 =
  19. 19.HCF of 475 and 325 =
  20. 20.HCF of 28 and 21 =
  21. 21.HCF of 165 and 44 =
  22. 22.HCF of 78 and 114 =
  23. 23.HCF of 90 and 200 =
  24. 24.HCF of 12 and 18 =
  25. 25.HCF of 220 and 120 =
  26. 26.HCF of 150 and 20 =
  27. 27.HCF of 84 and 30 =
  28. 28.HCF of 198 and 374 =
  29. 29.HCF of 44 and 56 =
  30. 30.HCF of 105 and 112 =
  31. 31.HCF of 117 and 65 =
  32. 32.HCF of 138 and 391 =
  33. 33.HCF of 210 and 112 =
  34. 34.HCF of 10 and 18 =
  35. 35.HCF of 20 and 130 =
  36. 36.HCF of 84 and 24 =
  37. 37.HCF of 63 and 72 =
  38. 38.HCF of 187 and 272 =
  39. 39.HCF of 144 and 117 =
  40. 40.HCF of 60 and 35 =

Answer key

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

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