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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 92 · 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 120 and 105 =
  2. 2.HCF of 90 and 190 =
  3. 3.HCF of 120 and 255 =
  4. 4.HCF of 299 and 92 =
  5. 5.HCF of 357 and 84 =
  6. 6.HCF of 91 and 21 =
  7. 7.HCF of 112 and 304 =
  8. 8.HCF of 45 and 65 =
  9. 9.HCF of 242 and 154 =
  10. 10.HCF of 396 and 374 =
  11. 11.HCF of 16 and 20 =
  12. 12.HCF of 132 and 374 =
  13. 13.HCF of 272 and 48 =
  14. 14.HCF of 234 and 169 =
  15. 15.HCF of 85 and 25 =
  16. 16.HCF of 147 and 210 =
  17. 17.HCF of 75 and 200 =
  18. 18.HCF of 70 and 42 =
  19. 19.HCF of 80 and 30 =
  20. 20.HCF of 171 and 45 =
  21. 21.HCF of 8 and 60 =
  22. 22.HCF of 49 and 28 =
  23. 23.HCF of 12 and 66 =
  24. 24.HCF of 400 and 140 =
  25. 25.HCF of 121 and 55 =
  26. 26.HCF of 374 and 66 =
  27. 27.HCF of 156 and 216 =
  28. 28.HCF of 34 and 221 =
  29. 29.HCF of 21 and 30 =
  30. 30.HCF of 28 and 182 =
  31. 31.HCF of 66 and 78 =
  32. 32.HCF of 24 and 38 =
  33. 33.HCF of 115 and 161 =
  34. 34.HCF of 40 and 35 =
  35. 35.HCF of 85 and 55 =
  36. 36.HCF of 132 and 209 =
  37. 37.HCF of 105 and 28 =
  38. 38.HCF of 300 and 380 =
  39. 39.HCF of 85 and 119 =
  40. 40.HCF of 133 and 361 =

Answer key

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

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