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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 2 · 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 200 and 225 =
  2. 2.HCF of 84 and 48 =
  3. 3.HCF of 84 and 120 =
  4. 4.HCF of 140 and 340 =
  5. 5.HCF of 192 and 408 =
  6. 6.HCF of 225 and 165 =
  7. 7.HCF of 184 and 299 =
  8. 8.HCF of 192 and 80 =
  9. 9.HCF of 322 and 391 =
  10. 10.HCF of 195 and 240 =
  11. 11.HCF of 165 and 270 =
  12. 12.HCF of 144 and 56 =
  13. 13.HCF of 80 and 95 =
  14. 14.HCF of 56 and 105 =
  15. 15.HCF of 24 and 104 =
  16. 16.HCF of 128 and 112 =
  17. 17.HCF of 68 and 153 =
  18. 18.HCF of 253 and 299 =
  19. 19.HCF of 126 and 147 =
  20. 20.HCF of 39 and 54 =
  21. 21.HCF of 238 and 154 =
  22. 22.HCF of 154 and 84 =
  23. 23.HCF of 49 and 84 =
  24. 24.HCF of 216 and 132 =
  25. 25.HCF of 55 and 70 =
  26. 26.HCF of 56 and 32 =
  27. 27.HCF of 340 and 300 =
  28. 28.HCF of 12 and 90 =
  29. 29.HCF of 216 and 168 =
  30. 30.HCF of 187 and 272 =
  31. 31.HCF of 170 and 51 =
  32. 32.HCF of 42 and 33 =
  33. 33.HCF of 221 and 102 =
  34. 34.HCF of 225 and 350 =
  35. 35.HCF of 18 and 120 =
  36. 36.HCF of 56 and 238 =
  37. 37.HCF of 30 and 66 =
  38. 38.HCF of 117 and 208 =
  39. 39.HCF of 130 and 90 =
  40. 40.HCF of 156 and 204 =

Answer key

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

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