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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 412 · 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 76 and 171 =
  2. 2.HCF of 56 and 60 =
  3. 3.HCF of 72 and 162 =
  4. 4.HCF of 112 and 91 =
  5. 5.HCF of 140 and 126 =
  6. 6.HCF of 72 and 168 =
  7. 7.HCF of 66 and 176 =
  8. 8.HCF of 189 and 231 =
  9. 9.HCF of 156 and 24 =
  10. 10.HCF of 80 and 192 =
  11. 11.HCF of 98 and 154 =
  12. 12.HCF of 272 and 119 =
  13. 13.HCF of 132 and 168 =
  14. 14.HCF of 57 and 15 =
  15. 15.HCF of 54 and 21 =
  16. 16.HCF of 72 and 112 =
  17. 17.HCF of 76 and 56 =
  18. 18.HCF of 216 and 60 =
  19. 19.HCF of 120 and 50 =
  20. 20.HCF of 323 and 171 =
  21. 21.HCF of 143 and 78 =
  22. 22.HCF of 285 and 90 =
  23. 23.HCF of 30 and 105 =
  24. 24.HCF of 48 and 15 =
  25. 25.HCF of 133 and 112 =
  26. 26.HCF of 323 and 238 =
  27. 27.HCF of 225 and 165 =
  28. 28.HCF of 4 and 14 =
  29. 29.HCF of 18 and 24 =
  30. 30.HCF of 26 and 221 =
  31. 31.HCF of 221 and 234 =
  32. 32.HCF of 128 and 80 =
  33. 33.HCF of 42 and 238 =
  34. 34.HCF of 360 and 312 =
  35. 35.HCF of 60 and 28 =
  36. 36.HCF of 33 and 6 =
  37. 37.HCF of 98 and 56 =
  38. 38.HCF of 170 and 110 =
  39. 39.HCF of 285 and 266 =
  40. 40.HCF of 132 and 108 =

Answer key

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

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