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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 697 · 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 207 and 253 =
  2. 2.HCF of 34 and 8 =
  3. 3.HCF of 52 and 65 =
  4. 4.HCF of 272 and 96 =
  5. 5.HCF of 360 and 456 =
  6. 6.HCF of 36 and 57 =
  7. 7.HCF of 216 and 204 =
  8. 8.HCF of 6 and 38 =
  9. 9.HCF of 90 and 27 =
  10. 10.HCF of 184 and 161 =
  11. 11.HCF of 18 and 26 =
  12. 12.HCF of 22 and 12 =
  13. 13.HCF of 39 and 143 =
  14. 14.HCF of 39 and 182 =
  15. 15.HCF of 418 and 352 =
  16. 16.HCF of 100 and 120 =
  17. 17.HCF of 144 and 120 =
  18. 18.HCF of 153 and 54 =
  19. 19.HCF of 60 and 285 =
  20. 20.HCF of 108 and 30 =
  21. 21.HCF of 273 and 189 =
  22. 22.HCF of 99 and 110 =
  23. 23.HCF of 189 and 168 =
  24. 24.HCF of 105 and 90 =
  25. 25.HCF of 40 and 24 =
  26. 26.HCF of 51 and 170 =
  27. 27.HCF of 126 and 49 =
  28. 28.HCF of 36 and 42 =
  29. 29.HCF of 84 and 147 =
  30. 30.HCF of 22 and 24 =
  31. 31.HCF of 299 and 92 =
  32. 32.HCF of 105 and 28 =
  33. 33.HCF of 133 and 247 =
  34. 34.HCF of 114 and 48 =
  35. 35.HCF of 272 and 323 =
  36. 36.HCF of 6 and 15 =
  37. 37.HCF of 95 and 133 =
  38. 38.HCF of 112 and 88 =
  39. 39.HCF of 252 and 98 =
  40. 40.HCF of 66 and 44 =

Answer key

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

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