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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 400 · 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 48 =
  2. 2.HCF of 56 and 20 =
  3. 3.HCF of 15 and 12 =
  4. 4.HCF of 75 and 180 =
  5. 5.HCF of 114 and 96 =
  6. 6.HCF of 68 and 32 =
  7. 7.HCF of 30 and 75 =
  8. 8.HCF of 264 and 286 =
  9. 9.HCF of 36 and 32 =
  10. 10.HCF of 204 and 221 =
  11. 11.HCF of 176 and 154 =
  12. 12.HCF of 57 and 38 =
  13. 13.HCF of 288 and 270 =
  14. 14.HCF of 45 and 285 =
  15. 15.HCF of 33 and 77 =
  16. 16.HCF of 15 and 48 =
  17. 17.HCF of 75 and 350 =
  18. 18.HCF of 100 and 65 =
  19. 19.HCF of 10 and 18 =
  20. 20.HCF of 75 and 35 =
  21. 21.HCF of 350 and 425 =
  22. 22.HCF of 120 and 42 =
  23. 23.HCF of 140 and 119 =
  24. 24.HCF of 437 and 345 =
  25. 25.HCF of 69 and 368 =
  26. 26.HCF of 30 and 50 =
  27. 27.HCF of 54 and 234 =
  28. 28.HCF of 216 and 204 =
  29. 29.HCF of 192 and 36 =
  30. 30.HCF of 40 and 24 =
  31. 31.HCF of 20 and 52 =
  32. 32.HCF of 48 and 60 =
  33. 33.HCF of 42 and 119 =
  34. 34.HCF of 48 and 60 =
  35. 35.HCF of 56 and 154 =
  36. 36.HCF of 171 and 108 =
  37. 37.HCF of 140 and 400 =
  38. 38.HCF of 34 and 36 =
  39. 39.HCF of 408 and 192 =
  40. 40.HCF of 154 and 66 =

Answer key

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

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