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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 924 · 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 352 and 154 =
  2. 2.HCF of 27 and 30 =
  3. 3.HCF of 75 and 20 =
  4. 4.HCF of 28 and 8 =
  5. 5.HCF of 117 and 52 =
  6. 6.HCF of 195 and 247 =
  7. 7.HCF of 154 and 84 =
  8. 8.HCF of 40 and 300 =
  9. 9.HCF of 285 and 195 =
  10. 10.HCF of 168 and 204 =
  11. 11.HCF of 192 and 120 =
  12. 12.HCF of 110 and 264 =
  13. 13.HCF of 48 and 360 =
  14. 14.HCF of 51 and 60 =
  15. 15.HCF of 200 and 325 =
  16. 16.HCF of 182 and 28 =
  17. 17.HCF of 10 and 34 =
  18. 18.HCF of 15 and 42 =
  19. 19.HCF of 300 and 285 =
  20. 20.HCF of 125 and 425 =
  21. 21.HCF of 30 and 55 =
  22. 22.HCF of 289 and 221 =
  23. 23.HCF of 171 and 247 =
  24. 24.HCF of 117 and 153 =
  25. 25.HCF of 65 and 247 =
  26. 26.HCF of 85 and 65 =
  27. 27.HCF of 56 and 133 =
  28. 28.HCF of 52 and 56 =
  29. 29.HCF of 150 and 425 =
  30. 30.HCF of 238 and 154 =
  31. 31.HCF of 30 and 51 =
  32. 32.HCF of 96 and 108 =
  33. 33.HCF of 289 and 306 =
  34. 34.HCF of 220 and 200 =
  35. 35.HCF of 75 and 325 =
  36. 36.HCF of 78 and 18 =
  37. 37.HCF of 133 and 56 =
  38. 38.HCF of 160 and 24 =
  39. 39.HCF of 24 and 38 =
  40. 40.HCF of 70 and 130 =

Answer key

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

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