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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 888 · 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 220 and 187 =
  2. 2.HCF of 240 and 256 =
  3. 3.HCF of 156 and 48 =
  4. 4.HCF of 270 and 75 =
  5. 5.HCF of 8 and 36 =
  6. 6.HCF of 32 and 112 =
  7. 7.HCF of 117 and 135 =
  8. 8.HCF of 34 and 323 =
  9. 9.HCF of 176 and 208 =
  10. 10.HCF of 126 and 72 =
  11. 11.HCF of 100 and 120 =
  12. 12.HCF of 280 and 300 =
  13. 13.HCF of 27 and 33 =
  14. 14.HCF of 66 and 84 =
  15. 15.HCF of 304 and 32 =
  16. 16.HCF of 48 and 28 =
  17. 17.HCF of 55 and 176 =
  18. 18.HCF of 169 and 195 =
  19. 19.HCF of 78 and 114 =
  20. 20.HCF of 56 and 88 =
  21. 21.HCF of 35 and 119 =
  22. 22.HCF of 391 and 253 =
  23. 23.HCF of 91 and 260 =
  24. 24.HCF of 30 and 18 =
  25. 25.HCF of 91 and 156 =
  26. 26.HCF of 32 and 72 =
  27. 27.HCF of 418 and 440 =
  28. 28.HCF of 184 and 207 =
  29. 29.HCF of 54 and 84 =
  30. 30.HCF of 160 and 72 =
  31. 31.HCF of 357 and 273 =
  32. 32.HCF of 60 and 200 =
  33. 33.HCF of 120 and 50 =
  34. 34.HCF of 100 and 280 =
  35. 35.HCF of 224 and 238 =
  36. 36.HCF of 153 and 27 =
  37. 37.HCF of 306 and 72 =
  38. 38.HCF of 255 and 135 =
  39. 39.HCF of 64 and 28 =
  40. 40.HCF of 26 and 34 =

Answer key

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

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