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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 416 · 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 169 and 26 =
  2. 2.HCF of 300 and 255 =
  3. 3.HCF of 15 and 25 =
  4. 4.HCF of 90 and 81 =
  5. 5.HCF of 34 and 24 =
  6. 6.HCF of 160 and 72 =
  7. 7.HCF of 132 and 108 =
  8. 8.HCF of 112 and 160 =
  9. 9.HCF of 240 and 75 =
  10. 10.HCF of 187 and 132 =
  11. 11.HCF of 126 and 196 =
  12. 12.HCF of 91 and 26 =
  13. 13.HCF of 90 and 126 =
  14. 14.HCF of 33 and 15 =
  15. 15.HCF of 270 and 285 =
  16. 16.HCF of 56 and 32 =
  17. 17.HCF of 161 and 92 =
  18. 18.HCF of 78 and 108 =
  19. 19.HCF of 72 and 312 =
  20. 20.HCF of 24 and 180 =
  21. 21.HCF of 143 and 169 =
  22. 22.HCF of 182 and 56 =
  23. 23.HCF of 27 and 6 =
  24. 24.HCF of 27 and 60 =
  25. 25.HCF of 48 and 51 =
  26. 26.HCF of 204 and 132 =
  27. 27.HCF of 117 and 208 =
  28. 28.HCF of 220 and 286 =
  29. 29.HCF of 36 and 168 =
  30. 30.HCF of 68 and 51 =
  31. 31.HCF of 144 and 99 =
  32. 32.HCF of 30 and 4 =
  33. 33.HCF of 21 and 9 =
  34. 34.HCF of 36 and 8 =
  35. 35.HCF of 21 and 51 =
  36. 36.HCF of 114 and 54 =
  37. 37.HCF of 170 and 20 =
  38. 38.HCF of 360 and 168 =
  39. 39.HCF of 126 and 119 =
  40. 40.HCF of 52 and 221 =

Answer key

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

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