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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 555 · 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 234 and 54 =
  2. 2.HCF of 18 and 34 =
  3. 3.HCF of 250 and 325 =
  4. 4.HCF of 440 and 66 =
  5. 5.HCF of 45 and 48 =
  6. 6.HCF of 85 and 75 =
  7. 7.HCF of 14 and 40 =
  8. 8.HCF of 144 and 304 =
  9. 9.HCF of 102 and 323 =
  10. 10.HCF of 40 and 88 =
  11. 11.HCF of 260 and 180 =
  12. 12.HCF of 99 and 117 =
  13. 13.HCF of 72 and 240 =
  14. 14.HCF of 8 and 76 =
  15. 15.HCF of 49 and 133 =
  16. 16.HCF of 340 and 153 =
  17. 17.HCF of 175 and 300 =
  18. 18.HCF of 209 and 247 =
  19. 19.HCF of 120 and 102 =
  20. 20.HCF of 143 and 44 =
  21. 21.HCF of 150 and 125 =
  22. 22.HCF of 120 and 16 =
  23. 23.HCF of 204 and 168 =
  24. 24.HCF of 49 and 63 =
  25. 25.HCF of 72 and 408 =
  26. 26.HCF of 60 and 84 =
  27. 27.HCF of 44 and 154 =
  28. 28.HCF of 112 and 210 =
  29. 29.HCF of 15 and 80 =
  30. 30.HCF of 119 and 68 =
  31. 31.HCF of 100 and 40 =
  32. 32.HCF of 75 and 40 =
  33. 33.HCF of 368 and 161 =
  34. 34.HCF of 360 and 198 =
  35. 35.HCF of 55 and 45 =
  36. 36.HCF of 63 and 231 =
  37. 37.HCF of 161 and 345 =
  38. 38.HCF of 300 and 135 =
  39. 39.HCF of 70 and 252 =
  40. 40.HCF of 133 and 35 =

Answer key

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

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