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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 727 · 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 266 and 252 =
  2. 2.HCF of 133 and 14 =
  3. 3.HCF of 220 and 286 =
  4. 4.HCF of 216 and 336 =
  5. 5.HCF of 240 and 168 =
  6. 6.HCF of 180 and 400 =
  7. 7.HCF of 32 and 34 =
  8. 8.HCF of 80 and 100 =
  9. 9.HCF of 242 and 330 =
  10. 10.HCF of 85 and 35 =
  11. 11.HCF of 34 and 119 =
  12. 12.HCF of 105 and 225 =
  13. 13.HCF of 225 and 500 =
  14. 14.HCF of 117 and 153 =
  15. 15.HCF of 84 and 60 =
  16. 16.HCF of 144 and 90 =
  17. 17.HCF of 207 and 92 =
  18. 18.HCF of 32 and 176 =
  19. 19.HCF of 120 and 88 =
  20. 20.HCF of 136 and 104 =
  21. 21.HCF of 399 and 252 =
  22. 22.HCF of 38 and 32 =
  23. 23.HCF of 100 and 320 =
  24. 24.HCF of 39 and 21 =
  25. 25.HCF of 44 and 32 =
  26. 26.HCF of 76 and 52 =
  27. 27.HCF of 240 and 340 =
  28. 28.HCF of 70 and 49 =
  29. 29.HCF of 247 and 78 =
  30. 30.HCF of 300 and 165 =
  31. 31.HCF of 36 and 240 =
  32. 32.HCF of 44 and 33 =
  33. 33.HCF of 84 and 182 =
  34. 34.HCF of 95 and 45 =
  35. 35.HCF of 16 and 52 =
  36. 36.HCF of 26 and 16 =
  37. 37.HCF of 18 and 60 =
  38. 38.HCF of 36 and 24 =
  39. 39.HCF of 48 and 18 =
  40. 40.HCF of 180 and 132 =

Answer key

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

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