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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 791 · 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 168 and 384 =
  2. 2.HCF of 216 and 168 =
  3. 3.HCF of 105 and 112 =
  4. 4.HCF of 323 and 306 =
  5. 5.HCF of 57 and 323 =
  6. 6.HCF of 108 and 198 =
  7. 7.HCF of 180 and 228 =
  8. 8.HCF of 40 and 95 =
  9. 9.HCF of 240 and 204 =
  10. 10.HCF of 10 and 28 =
  11. 11.HCF of 55 and 132 =
  12. 12.HCF of 45 and 55 =
  13. 13.HCF of 80 and 56 =
  14. 14.HCF of 44 and 99 =
  15. 15.HCF of 70 and 84 =
  16. 16.HCF of 45 and 50 =
  17. 17.HCF of 92 and 437 =
  18. 18.HCF of 12 and 38 =
  19. 19.HCF of 120 and 66 =
  20. 20.HCF of 95 and 114 =
  21. 21.HCF of 255 and 323 =
  22. 22.HCF of 140 and 60 =
  23. 23.HCF of 99 and 144 =
  24. 24.HCF of 336 and 360 =
  25. 25.HCF of 475 and 150 =
  26. 26.HCF of 380 and 171 =
  27. 27.HCF of 4 and 34 =
  28. 28.HCF of 135 and 165 =
  29. 29.HCF of 204 and 144 =
  30. 30.HCF of 154 and 121 =
  31. 31.HCF of 34 and 6 =
  32. 32.HCF of 336 and 312 =
  33. 33.HCF of 60 and 65 =
  34. 34.HCF of 21 and 60 =
  35. 35.HCF of 125 and 275 =
  36. 36.HCF of 45 and 70 =
  37. 37.HCF of 221 and 323 =
  38. 38.HCF of 72 and 198 =
  39. 39.HCF of 380 and 171 =
  40. 40.HCF of 4 and 30 =

Answer key

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

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