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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 869 · 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 112 and 272 =
  2. 2.HCF of 200 and 325 =
  3. 3.HCF of 90 and 252 =
  4. 4.HCF of 285 and 180 =
  5. 5.HCF of 156 and 168 =
  6. 6.HCF of 170 and 30 =
  7. 7.HCF of 152 and 16 =
  8. 8.HCF of 136 and 32 =
  9. 9.HCF of 418 and 176 =
  10. 10.HCF of 15 and 24 =
  11. 11.HCF of 135 and 72 =
  12. 12.HCF of 32 and 40 =
  13. 13.HCF of 175 and 125 =
  14. 14.HCF of 280 and 182 =
  15. 15.HCF of 77 and 126 =
  16. 16.HCF of 132 and 77 =
  17. 17.HCF of 368 and 437 =
  18. 18.HCF of 273 and 168 =
  19. 19.HCF of 26 and 4 =
  20. 20.HCF of 126 and 54 =
  21. 21.HCF of 76 and 40 =
  22. 22.HCF of 180 and 130 =
  23. 23.HCF of 98 and 119 =
  24. 24.HCF of 105 and 252 =
  25. 25.HCF of 209 and 220 =
  26. 26.HCF of 147 and 357 =
  27. 27.HCF of 14 and 35 =
  28. 28.HCF of 120 and 264 =
  29. 29.HCF of 40 and 64 =
  30. 30.HCF of 65 and 40 =
  31. 31.HCF of 200 and 475 =
  32. 32.HCF of 256 and 304 =
  33. 33.HCF of 25 and 90 =
  34. 34.HCF of 40 and 18 =
  35. 35.HCF of 125 and 225 =
  36. 36.HCF of 198 and 270 =
  37. 37.HCF of 368 and 207 =
  38. 38.HCF of 48 and 78 =
  39. 39.HCF of 22 and 26 =
  40. 40.HCF of 209 and 114 =

Answer key

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

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