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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 414 · 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 204 and 216 =
  2. 2.HCF of 90 and 162 =
  3. 3.HCF of 120 and 84 =
  4. 4.HCF of 36 and 44 =
  5. 5.HCF of 22 and 26 =
  6. 6.HCF of 121 and 187 =
  7. 7.HCF of 80 and 15 =
  8. 8.HCF of 45 and 10 =
  9. 9.HCF of 264 and 168 =
  10. 10.HCF of 75 and 325 =
  11. 11.HCF of 230 and 161 =
  12. 12.HCF of 112 and 80 =
  13. 13.HCF of 220 and 260 =
  14. 14.HCF of 30 and 34 =
  15. 15.HCF of 48 and 272 =
  16. 16.HCF of 99 and 135 =
  17. 17.HCF of 60 and 76 =
  18. 18.HCF of 85 and 30 =
  19. 19.HCF of 35 and 98 =
  20. 20.HCF of 182 and 39 =
  21. 21.HCF of 90 and 110 =
  22. 22.HCF of 60 and 168 =
  23. 23.HCF of 440 and 154 =
  24. 24.HCF of 247 and 133 =
  25. 25.HCF of 120 and 70 =
  26. 26.HCF of 52 and 65 =
  27. 27.HCF of 161 and 276 =
  28. 28.HCF of 242 and 110 =
  29. 29.HCF of 112 and 304 =
  30. 30.HCF of 220 and 209 =
  31. 31.HCF of 418 and 264 =
  32. 32.HCF of 285 and 195 =
  33. 33.HCF of 48 and 64 =
  34. 34.HCF of 256 and 176 =
  35. 35.HCF of 54 and 57 =
  36. 36.HCF of 240 and 75 =
  37. 37.HCF of 144 and 90 =
  38. 38.HCF of 88 and 48 =
  39. 39.HCF of 105 and 28 =
  40. 40.HCF of 54 and 360 =

Answer key

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

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