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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 24 · 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 60 and 114 =
  2. 2.HCF of 25 and 90 =
  3. 3.HCF of 84 and 49 =
  4. 4.HCF of 153 and 162 =
  5. 5.HCF of 65 and 143 =
  6. 6.HCF of 52 and 36 =
  7. 7.HCF of 33 and 77 =
  8. 8.HCF of 238 and 266 =
  9. 9.HCF of 55 and 10 =
  10. 10.HCF of 76 and 56 =
  11. 11.HCF of 75 and 400 =
  12. 12.HCF of 60 and 96 =
  13. 13.HCF of 110 and 33 =
  14. 14.HCF of 132 and 242 =
  15. 15.HCF of 144 and 408 =
  16. 16.HCF of 14 and 36 =
  17. 17.HCF of 104 and 39 =
  18. 18.HCF of 78 and 54 =
  19. 19.HCF of 42 and 90 =
  20. 20.HCF of 204 and 60 =
  21. 21.HCF of 56 and 72 =
  22. 22.HCF of 306 and 85 =
  23. 23.HCF of 133 and 49 =
  24. 24.HCF of 14 and 119 =
  25. 25.HCF of 66 and 121 =
  26. 26.HCF of 270 and 165 =
  27. 27.HCF of 25 and 90 =
  28. 28.HCF of 72 and 102 =
  29. 29.HCF of 304 and 323 =
  30. 30.HCF of 10 and 22 =
  31. 31.HCF of 48 and 27 =
  32. 32.HCF of 216 and 120 =
  33. 33.HCF of 42 and 119 =
  34. 34.HCF of 102 and 84 =
  35. 35.HCF of 228 and 216 =
  36. 36.HCF of 285 and 165 =
  37. 37.HCF of 24 and 39 =
  38. 38.HCF of 50 and 120 =
  39. 39.HCF of 240 and 176 =
  40. 40.HCF of 110 and 20 =

Answer key

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

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