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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 876 · 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 54 and 36 =
  2. 2.HCF of 136 and 88 =
  3. 3.HCF of 117 and 27 =
  4. 4.HCF of 56 and 266 =
  5. 5.HCF of 45 and 81 =
  6. 6.HCF of 299 and 368 =
  7. 7.HCF of 320 and 260 =
  8. 8.HCF of 220 and 100 =
  9. 9.HCF of 234 and 144 =
  10. 10.HCF of 15 and 51 =
  11. 11.HCF of 104 and 48 =
  12. 12.HCF of 45 and 20 =
  13. 13.HCF of 150 and 125 =
  14. 14.HCF of 75 and 10 =
  15. 15.HCF of 360 and 340 =
  16. 16.HCF of 45 and 27 =
  17. 17.HCF of 225 and 255 =
  18. 18.HCF of 48 and 104 =
  19. 19.HCF of 234 and 108 =
  20. 20.HCF of 323 and 38 =
  21. 21.HCF of 180 and 342 =
  22. 22.HCF of 24 and 14 =
  23. 23.HCF of 99 and 36 =
  24. 24.HCF of 228 and 95 =
  25. 25.HCF of 25 and 85 =
  26. 26.HCF of 46 and 207 =
  27. 27.HCF of 50 and 20 =
  28. 28.HCF of 90 and 25 =
  29. 29.HCF of 28 and 126 =
  30. 30.HCF of 200 and 90 =
  31. 31.HCF of 32 and 80 =
  32. 32.HCF of 40 and 300 =
  33. 33.HCF of 242 and 286 =
  34. 34.HCF of 26 and 38 =
  35. 35.HCF of 260 and 221 =
  36. 36.HCF of 242 and 396 =
  37. 37.HCF of 48 and 272 =
  38. 38.HCF of 299 and 115 =
  39. 39.HCF of 126 and 180 =
  40. 40.HCF of 96 and 168 =

Answer key

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

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