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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 113 · 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 342 and 162 =
  2. 2.HCF of 84 and 36 =
  3. 3.HCF of 40 and 220 =
  4. 4.HCF of 30 and 16 =
  5. 5.HCF of 80 and 52 =
  6. 6.HCF of 78 and 84 =
  7. 7.HCF of 12 and 32 =
  8. 8.HCF of 187 and 272 =
  9. 9.HCF of 110 and 99 =
  10. 10.HCF of 38 and 32 =
  11. 11.HCF of 78 and 90 =
  12. 12.HCF of 240 and 260 =
  13. 13.HCF of 18 and 8 =
  14. 14.HCF of 85 and 95 =
  15. 15.HCF of 342 and 234 =
  16. 16.HCF of 30 and 48 =
  17. 17.HCF of 225 and 240 =
  18. 18.HCF of 308 and 110 =
  19. 19.HCF of 192 and 180 =
  20. 20.HCF of 152 and 160 =
  21. 21.HCF of 126 and 182 =
  22. 22.HCF of 48 and 76 =
  23. 23.HCF of 85 and 15 =
  24. 24.HCF of 18 and 40 =
  25. 25.HCF of 75 and 180 =
  26. 26.HCF of 72 and 156 =
  27. 27.HCF of 14 and 10 =
  28. 28.HCF of 240 and 135 =
  29. 29.HCF of 45 and 300 =
  30. 30.HCF of 70 and 126 =
  31. 31.HCF of 70 and 133 =
  32. 32.HCF of 288 and 456 =
  33. 33.HCF of 475 and 100 =
  34. 34.HCF of 45 and 165 =
  35. 35.HCF of 84 and 70 =
  36. 36.HCF of 224 and 176 =
  37. 37.HCF of 90 and 99 =
  38. 38.HCF of 54 and 96 =
  39. 39.HCF of 286 and 440 =
  40. 40.HCF of 165 and 44 =

Answer key

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

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