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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 597 · 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 90 and 216 =
  2. 2.HCF of 36 and 81 =
  3. 3.HCF of 70 and 42 =
  4. 4.HCF of 12 and 10 =
  5. 5.HCF of 357 and 336 =
  6. 6.HCF of 253 and 138 =
  7. 7.HCF of 220 and 242 =
  8. 8.HCF of 98 and 91 =
  9. 9.HCF of 38 and 133 =
  10. 10.HCF of 114 and 209 =
  11. 11.HCF of 34 and 12 =
  12. 12.HCF of 140 and 60 =
  13. 13.HCF of 27 and 6 =
  14. 14.HCF of 161 and 184 =
  15. 15.HCF of 52 and 91 =
  16. 16.HCF of 255 and 105 =
  17. 17.HCF of 300 and 175 =
  18. 18.HCF of 77 and 91 =
  19. 19.HCF of 12 and 78 =
  20. 20.HCF of 35 and 10 =
  21. 21.HCF of 264 and 432 =
  22. 22.HCF of 68 and 85 =
  23. 23.HCF of 24 and 52 =
  24. 24.HCF of 80 and 260 =
  25. 25.HCF of 50 and 375 =
  26. 26.HCF of 147 and 336 =
  27. 27.HCF of 323 and 95 =
  28. 28.HCF of 24 and 20 =
  29. 29.HCF of 28 and 6 =
  30. 30.HCF of 91 and 65 =
  31. 31.HCF of 270 and 36 =
  32. 32.HCF of 88 and 143 =
  33. 33.HCF of 144 and 408 =
  34. 34.HCF of 33 and 18 =
  35. 35.HCF of 8 and 60 =
  36. 36.HCF of 50 and 170 =
  37. 37.HCF of 49 and 35 =
  38. 38.HCF of 117 and 108 =
  39. 39.HCF of 105 and 28 =
  40. 40.HCF of 117 and 52 =

Answer key

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

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