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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 916 · 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 165 and 90 =
  2. 2.HCF of 35 and 15 =
  3. 3.HCF of 102 and 60 =
  4. 4.HCF of 12 and 90 =
  5. 5.HCF of 207 and 92 =
  6. 6.HCF of 112 and 104 =
  7. 7.HCF of 315 and 231 =
  8. 8.HCF of 189 and 42 =
  9. 9.HCF of 90 and 95 =
  10. 10.HCF of 32 and 40 =
  11. 11.HCF of 100 and 75 =
  12. 12.HCF of 252 and 266 =
  13. 13.HCF of 24 and 36 =
  14. 14.HCF of 81 and 144 =
  15. 15.HCF of 114 and 90 =
  16. 16.HCF of 16 and 28 =
  17. 17.HCF of 360 and 48 =
  18. 18.HCF of 140 and 260 =
  19. 19.HCF of 39 and 12 =
  20. 20.HCF of 12 and 51 =
  21. 21.HCF of 115 and 184 =
  22. 22.HCF of 36 and 39 =
  23. 23.HCF of 286 and 264 =
  24. 24.HCF of 180 and 153 =
  25. 25.HCF of 57 and 323 =
  26. 26.HCF of 225 and 175 =
  27. 27.HCF of 228 and 36 =
  28. 28.HCF of 140 and 200 =
  29. 29.HCF of 54 and 102 =
  30. 30.HCF of 112 and 49 =
  31. 31.HCF of 143 and 195 =
  32. 32.HCF of 96 and 84 =
  33. 33.HCF of 242 and 220 =
  34. 34.HCF of 500 and 75 =
  35. 35.HCF of 10 and 34 =
  36. 36.HCF of 204 and 96 =
  37. 37.HCF of 63 and 54 =
  38. 38.HCF of 330 and 88 =
  39. 39.HCF of 30 and 95 =
  40. 40.HCF of 380 and 240 =

Answer key

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

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