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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 904 · 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 182 and 195 =
  2. 2.HCF of 56 and 77 =
  3. 3.HCF of 119 and 140 =
  4. 4.HCF of 190 and 209 =
  5. 5.HCF of 91 and 195 =
  6. 6.HCF of 42 and 96 =
  7. 7.HCF of 85 and 40 =
  8. 8.HCF of 252 and 90 =
  9. 9.HCF of 102 and 24 =
  10. 10.HCF of 48 and 156 =
  11. 11.HCF of 57 and 30 =
  12. 12.HCF of 60 and 54 =
  13. 13.HCF of 168 and 240 =
  14. 14.HCF of 133 and 126 =
  15. 15.HCF of 396 and 242 =
  16. 16.HCF of 132 and 84 =
  17. 17.HCF of 300 and 105 =
  18. 18.HCF of 108 and 99 =
  19. 19.HCF of 36 and 192 =
  20. 20.HCF of 161 and 138 =
  21. 21.HCF of 28 and 133 =
  22. 22.HCF of 64 and 272 =
  23. 23.HCF of 306 and 36 =
  24. 24.HCF of 182 and 117 =
  25. 25.HCF of 32 and 20 =
  26. 26.HCF of 45 and 55 =
  27. 27.HCF of 64 and 88 =
  28. 28.HCF of 54 and 57 =
  29. 29.HCF of 52 and 80 =
  30. 30.HCF of 273 and 399 =
  31. 31.HCF of 156 and 221 =
  32. 32.HCF of 36 and 132 =
  33. 33.HCF of 304 and 171 =
  34. 34.HCF of 160 and 300 =
  35. 35.HCF of 120 and 132 =
  36. 36.HCF of 66 and 42 =
  37. 37.HCF of 63 and 84 =
  38. 38.HCF of 81 and 90 =
  39. 39.HCF of 345 and 299 =
  40. 40.HCF of 342 and 95 =

Answer key

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

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