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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 10 · 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 288 and 168 =
  2. 2.HCF of 36 and 66 =
  3. 3.HCF of 99 and 108 =
  4. 4.HCF of 288 and 456 =
  5. 5.HCF of 46 and 207 =
  6. 6.HCF of 10 and 45 =
  7. 7.HCF of 117 and 162 =
  8. 8.HCF of 500 and 475 =
  9. 9.HCF of 135 and 255 =
  10. 10.HCF of 99 and 143 =
  11. 11.HCF of 14 and 77 =
  12. 12.HCF of 56 and 210 =
  13. 13.HCF of 49 and 70 =
  14. 14.HCF of 121 and 165 =
  15. 15.HCF of 323 and 34 =
  16. 16.HCF of 200 and 325 =
  17. 17.HCF of 224 and 182 =
  18. 18.HCF of 240 and 156 =
  19. 19.HCF of 84 and 108 =
  20. 20.HCF of 312 and 96 =
  21. 21.HCF of 380 and 57 =
  22. 22.HCF of 143 and 88 =
  23. 23.HCF of 110 and 60 =
  24. 24.HCF of 34 and 12 =
  25. 25.HCF of 24 and 54 =
  26. 26.HCF of 77 and 126 =
  27. 27.HCF of 180 and 195 =
  28. 28.HCF of 60 and 220 =
  29. 29.HCF of 360 and 96 =
  30. 30.HCF of 45 and 27 =
  31. 31.HCF of 25 and 60 =
  32. 32.HCF of 46 and 345 =
  33. 33.HCF of 242 and 110 =
  34. 34.HCF of 84 and 189 =
  35. 35.HCF of 36 and 168 =
  36. 36.HCF of 20 and 8 =
  37. 37.HCF of 120 and 216 =
  38. 38.HCF of 102 and 108 =
  39. 39.HCF of 20 and 56 =
  40. 40.HCF of 56 and 238 =

Answer key

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

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