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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 271 · 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 90 and 285 =
  2. 2.HCF of 8 and 60 =
  3. 3.HCF of 165 and 45 =
  4. 4.HCF of 56 and 64 =
  5. 5.HCF of 32 and 34 =
  6. 6.HCF of 18 and 20 =
  7. 7.HCF of 75 and 275 =
  8. 8.HCF of 85 and 119 =
  9. 9.HCF of 6 and 39 =
  10. 10.HCF of 168 and 147 =
  11. 11.HCF of 34 and 8 =
  12. 12.HCF of 90 and 285 =
  13. 13.HCF of 110 and 264 =
  14. 14.HCF of 288 and 80 =
  15. 15.HCF of 65 and 39 =
  16. 16.HCF of 272 and 128 =
  17. 17.HCF of 4 and 22 =
  18. 18.HCF of 24 and 136 =
  19. 19.HCF of 323 and 38 =
  20. 20.HCF of 78 and 12 =
  21. 21.HCF of 180 and 140 =
  22. 22.HCF of 198 and 154 =
  23. 23.HCF of 45 and 25 =
  24. 24.HCF of 180 and 195 =
  25. 25.HCF of 168 and 408 =
  26. 26.HCF of 112 and 272 =
  27. 27.HCF of 30 and 32 =
  28. 28.HCF of 48 and 176 =
  29. 29.HCF of 45 and 12 =
  30. 30.HCF of 342 and 54 =
  31. 31.HCF of 260 and 247 =
  32. 32.HCF of 20 and 36 =
  33. 33.HCF of 54 and 63 =
  34. 34.HCF of 48 and 60 =
  35. 35.HCF of 180 and 96 =
  36. 36.HCF of 28 and 38 =
  37. 37.HCF of 33 and 45 =
  38. 38.HCF of 54 and 180 =
  39. 39.HCF of 189 and 147 =
  40. 40.HCF of 75 and 125 =

Answer key

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

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