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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 604 · 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 112 =
  2. 2.HCF of 100 and 60 =
  3. 3.HCF of 170 and 180 =
  4. 4.HCF of 133 and 63 =
  5. 5.HCF of 187 and 121 =
  6. 6.HCF of 90 and 36 =
  7. 7.HCF of 99 and 143 =
  8. 8.HCF of 38 and 14 =
  9. 9.HCF of 102 and 90 =
  10. 10.HCF of 250 and 75 =
  11. 11.HCF of 60 and 96 =
  12. 12.HCF of 20 and 25 =
  13. 13.HCF of 336 and 315 =
  14. 14.HCF of 260 and 220 =
  15. 15.HCF of 437 and 161 =
  16. 16.HCF of 28 and 6 =
  17. 17.HCF of 45 and 99 =
  18. 18.HCF of 143 and 187 =
  19. 19.HCF of 266 and 182 =
  20. 20.HCF of 260 and 40 =
  21. 21.HCF of 80 and 192 =
  22. 22.HCF of 210 and 154 =
  23. 23.HCF of 63 and 105 =
  24. 24.HCF of 119 and 34 =
  25. 25.HCF of 154 and 110 =
  26. 26.HCF of 112 and 40 =
  27. 27.HCF of 36 and 15 =
  28. 28.HCF of 143 and 156 =
  29. 29.HCF of 209 and 266 =
  30. 30.HCF of 272 and 221 =
  31. 31.HCF of 20 and 90 =
  32. 32.HCF of 39 and 60 =
  33. 33.HCF of 35 and 30 =
  34. 34.HCF of 51 and 9 =
  35. 35.HCF of 70 and 30 =
  36. 36.HCF of 56 and 36 =
  37. 37.HCF of 99 and 135 =
  38. 38.HCF of 323 and 238 =
  39. 39.HCF of 84 and 273 =
  40. 40.HCF of 500 and 275 =

Answer key

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

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