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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 5 · 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 114 and 54 =
  2. 2.HCF of 21 and 45 =
  3. 3.HCF of 35 and 91 =
  4. 4.HCF of 24 and 54 =
  5. 5.HCF of 91 and 84 =
  6. 6.HCF of 299 and 322 =
  7. 7.HCF of 210 and 399 =
  8. 8.HCF of 54 and 39 =
  9. 9.HCF of 180 and 165 =
  10. 10.HCF of 180 and 204 =
  11. 11.HCF of 81 and 153 =
  12. 12.HCF of 300 and 380 =
  13. 13.HCF of 21 and 36 =
  14. 14.HCF of 135 and 36 =
  15. 15.HCF of 140 and 133 =
  16. 16.HCF of 40 and 18 =
  17. 17.HCF of 161 and 437 =
  18. 18.HCF of 49 and 42 =
  19. 19.HCF of 80 and 50 =
  20. 20.HCF of 182 and 168 =
  21. 21.HCF of 216 and 132 =
  22. 22.HCF of 38 and 12 =
  23. 23.HCF of 56 and 35 =
  24. 24.HCF of 35 and 25 =
  25. 25.HCF of 175 and 375 =
  26. 26.HCF of 322 and 115 =
  27. 27.HCF of 42 and 9 =
  28. 28.HCF of 32 and 18 =
  29. 29.HCF of 35 and 95 =
  30. 30.HCF of 119 and 153 =
  31. 31.HCF of 450 and 125 =
  32. 32.HCF of 90 and 85 =
  33. 33.HCF of 60 and 95 =
  34. 34.HCF of 70 and 224 =
  35. 35.HCF of 132 and 180 =
  36. 36.HCF of 152 and 285 =
  37. 37.HCF of 299 and 115 =
  38. 38.HCF of 12 and 78 =
  39. 39.HCF of 100 and 240 =
  40. 40.HCF of 306 and 342 =

Answer key

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

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