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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 20 · 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 85 and 100 =
  2. 2.HCF of 175 and 100 =
  3. 3.HCF of 99 and 110 =
  4. 4.HCF of 84 and 78 =
  5. 5.HCF of 80 and 140 =
  6. 6.HCF of 21 and 18 =
  7. 7.HCF of 294 and 273 =
  8. 8.HCF of 42 and 39 =
  9. 9.HCF of 100 and 220 =
  10. 10.HCF of 25 and 10 =
  11. 11.HCF of 147 and 336 =
  12. 12.HCF of 250 and 225 =
  13. 13.HCF of 225 and 200 =
  14. 14.HCF of 180 and 168 =
  15. 15.HCF of 66 and 30 =
  16. 16.HCF of 187 and 102 =
  17. 17.HCF of 275 and 225 =
  18. 18.HCF of 66 and 176 =
  19. 19.HCF of 187 and 176 =
  20. 20.HCF of 156 and 84 =
  21. 21.HCF of 28 and 72 =
  22. 22.HCF of 380 and 160 =
  23. 23.HCF of 200 and 60 =
  24. 24.HCF of 192 and 108 =
  25. 25.HCF of 144 and 126 =
  26. 26.HCF of 8 and 14 =
  27. 27.HCF of 102 and 85 =
  28. 28.HCF of 408 and 216 =
  29. 29.HCF of 21 and 12 =
  30. 30.HCF of 120 and 50 =
  31. 31.HCF of 190 and 20 =
  32. 32.HCF of 144 and 88 =
  33. 33.HCF of 252 and 238 =
  34. 34.HCF of 80 and 140 =
  35. 35.HCF of 130 and 200 =
  36. 36.HCF of 285 and 75 =
  37. 37.HCF of 21 and 18 =
  38. 38.HCF of 80 and 90 =
  39. 39.HCF of 152 and 144 =
  40. 40.HCF of 33 and 54 =

Answer key

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

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