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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 89 · 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 45 and 81 =
  2. 2.HCF of 224 and 144 =
  3. 3.HCF of 15 and 70 =
  4. 4.HCF of 425 and 275 =
  5. 5.HCF of 108 and 120 =
  6. 6.HCF of 28 and 49 =
  7. 7.HCF of 38 and 14 =
  8. 8.HCF of 66 and 121 =
  9. 9.HCF of 100 and 75 =
  10. 10.HCF of 90 and 95 =
  11. 11.HCF of 81 and 117 =
  12. 12.HCF of 6 and 45 =
  13. 13.HCF of 184 and 345 =
  14. 14.HCF of 80 and 36 =
  15. 15.HCF of 24 and 114 =
  16. 16.HCF of 40 and 144 =
  17. 17.HCF of 195 and 285 =
  18. 18.HCF of 45 and 55 =
  19. 19.HCF of 70 and 84 =
  20. 20.HCF of 138 and 115 =
  21. 21.HCF of 81 and 126 =
  22. 22.HCF of 84 and 231 =
  23. 23.HCF of 286 and 396 =
  24. 24.HCF of 20 and 56 =
  25. 25.HCF of 133 and 190 =
  26. 26.HCF of 225 and 125 =
  27. 27.HCF of 30 and 4 =
  28. 28.HCF of 80 and 36 =
  29. 29.HCF of 57 and 247 =
  30. 30.HCF of 380 and 40 =
  31. 31.HCF of 285 and 209 =
  32. 32.HCF of 51 and 136 =
  33. 33.HCF of 24 and 15 =
  34. 34.HCF of 380 and 57 =
  35. 35.HCF of 80 and 32 =
  36. 36.HCF of 304 and 64 =
  37. 37.HCF of 221 and 119 =
  38. 38.HCF of 208 and 304 =
  39. 39.HCF of 98 and 119 =
  40. 40.HCF of 288 and 54 =

Answer key

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

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