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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 887 · 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 45 and 255 =
  2. 2.HCF of 228 and 108 =
  3. 3.HCF of 138 and 437 =
  4. 4.HCF of 120 and 102 =
  5. 5.HCF of 117 and 104 =
  6. 6.HCF of 22 and 16 =
  7. 7.HCF of 88 and 104 =
  8. 8.HCF of 264 and 384 =
  9. 9.HCF of 75 and 400 =
  10. 10.HCF of 209 and 165 =
  11. 11.HCF of 80 and 110 =
  12. 12.HCF of 78 and 143 =
  13. 13.HCF of 28 and 49 =
  14. 14.HCF of 120 and 45 =
  15. 15.HCF of 54 and 198 =
  16. 16.HCF of 96 and 30 =
  17. 17.HCF of 30 and 25 =
  18. 18.HCF of 196 and 182 =
  19. 19.HCF of 30 and 108 =
  20. 20.HCF of 162 and 126 =
  21. 21.HCF of 133 and 77 =
  22. 22.HCF of 306 and 221 =
  23. 23.HCF of 195 and 135 =
  24. 24.HCF of 99 and 117 =
  25. 25.HCF of 99 and 162 =
  26. 26.HCF of 361 and 133 =
  27. 27.HCF of 418 and 88 =
  28. 28.HCF of 20 and 48 =
  29. 29.HCF of 200 and 325 =
  30. 30.HCF of 26 and 40 =
  31. 31.HCF of 78 and 42 =
  32. 32.HCF of 95 and 57 =
  33. 33.HCF of 171 and 266 =
  34. 34.HCF of 65 and 80 =
  35. 35.HCF of 299 and 46 =
  36. 36.HCF of 168 and 315 =
  37. 37.HCF of 152 and 104 =
  38. 38.HCF of 156 and 60 =
  39. 39.HCF of 187 and 99 =
  40. 40.HCF of 312 and 96 =

Answer key

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

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