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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 187 · 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 308 and 242 =
  2. 2.HCF of 400 and 340 =
  3. 3.HCF of 253 and 115 =
  4. 4.HCF of 323 and 285 =
  5. 5.HCF of 20 and 6 =
  6. 6.HCF of 182 and 126 =
  7. 7.HCF of 306 and 234 =
  8. 8.HCF of 40 and 144 =
  9. 9.HCF of 75 and 120 =
  10. 10.HCF of 33 and 6 =
  11. 11.HCF of 136 and 48 =
  12. 12.HCF of 204 and 323 =
  13. 13.HCF of 312 and 48 =
  14. 14.HCF of 112 and 64 =
  15. 15.HCF of 143 and 208 =
  16. 16.HCF of 84 and 24 =
  17. 17.HCF of 115 and 92 =
  18. 18.HCF of 54 and 117 =
  19. 19.HCF of 117 and 182 =
  20. 20.HCF of 34 and 187 =
  21. 21.HCF of 24 and 32 =
  22. 22.HCF of 114 and 48 =
  23. 23.HCF of 15 and 95 =
  24. 24.HCF of 437 and 368 =
  25. 25.HCF of 120 and 152 =
  26. 26.HCF of 28 and 49 =
  27. 27.HCF of 90 and 66 =
  28. 28.HCF of 68 and 24 =
  29. 29.HCF of 78 and 24 =
  30. 30.HCF of 105 and 285 =
  31. 31.HCF of 408 and 480 =
  32. 32.HCF of 135 and 120 =
  33. 33.HCF of 84 and 36 =
  34. 34.HCF of 15 and 24 =
  35. 35.HCF of 368 and 345 =
  36. 36.HCF of 210 and 28 =
  37. 37.HCF of 16 and 40 =
  38. 38.HCF of 384 and 216 =
  39. 39.HCF of 125 and 75 =
  40. 40.HCF of 70 and 55 =

Answer key

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

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