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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 4 · 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 238 and 255 =
  2. 2.HCF of 105 and 77 =
  3. 3.HCF of 85 and 45 =
  4. 4.HCF of 91 and 126 =
  5. 5.HCF of 49 and 119 =
  6. 6.HCF of 32 and 10 =
  7. 7.HCF of 49 and 56 =
  8. 8.HCF of 42 and 96 =
  9. 9.HCF of 21 and 28 =
  10. 10.HCF of 77 and 99 =
  11. 11.HCF of 323 and 57 =
  12. 12.HCF of 22 and 143 =
  13. 13.HCF of 84 and 72 =
  14. 14.HCF of 63 and 135 =
  15. 15.HCF of 76 and 247 =
  16. 16.HCF of 60 and 55 =
  17. 17.HCF of 77 and 209 =
  18. 18.HCF of 70 and 252 =
  19. 19.HCF of 224 and 42 =
  20. 20.HCF of 60 and 85 =
  21. 21.HCF of 10 and 12 =
  22. 22.HCF of 133 and 285 =
  23. 23.HCF of 180 and 50 =
  24. 24.HCF of 500 and 225 =
  25. 25.HCF of 66 and 88 =
  26. 26.HCF of 15 and 6 =
  27. 27.HCF of 66 and 308 =
  28. 28.HCF of 175 and 75 =
  29. 29.HCF of 144 and 32 =
  30. 30.HCF of 300 and 80 =
  31. 31.HCF of 42 and 36 =
  32. 32.HCF of 24 and 112 =
  33. 33.HCF of 102 and 72 =
  34. 34.HCF of 27 and 21 =
  35. 35.HCF of 21 and 15 =
  36. 36.HCF of 85 and 68 =
  37. 37.HCF of 60 and 132 =
  38. 38.HCF of 24 and 44 =
  39. 39.HCF of 38 and 32 =
  40. 40.HCF of 8 and 22 =

Answer key

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

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