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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 453 · 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 120 and 340 =
  2. 2.HCF of 36 and 76 =
  3. 3.HCF of 6 and 21 =
  4. 4.HCF of 54 and 84 =
  5. 5.HCF of 90 and 117 =
  6. 6.HCF of 170 and 140 =
  7. 7.HCF of 247 and 169 =
  8. 8.HCF of 12 and 78 =
  9. 9.HCF of 42 and 280 =
  10. 10.HCF of 156 and 180 =
  11. 11.HCF of 100 and 75 =
  12. 12.HCF of 132 and 209 =
  13. 13.HCF of 153 and 170 =
  14. 14.HCF of 198 and 162 =
  15. 15.HCF of 180 and 27 =
  16. 16.HCF of 12 and 10 =
  17. 17.HCF of 45 and 153 =
  18. 18.HCF of 10 and 35 =
  19. 19.HCF of 285 and 304 =
  20. 20.HCF of 48 and 224 =
  21. 21.HCF of 153 and 45 =
  22. 22.HCF of 408 and 120 =
  23. 23.HCF of 88 and 16 =
  24. 24.HCF of 288 and 90 =
  25. 25.HCF of 96 and 156 =
  26. 26.HCF of 220 and 140 =
  27. 27.HCF of 187 and 198 =
  28. 28.HCF of 255 and 300 =
  29. 29.HCF of 152 and 104 =
  30. 30.HCF of 99 and 45 =
  31. 31.HCF of 9 and 24 =
  32. 32.HCF of 45 and 60 =
  33. 33.HCF of 49 and 112 =
  34. 34.HCF of 135 and 72 =
  35. 35.HCF of 8 and 26 =
  36. 36.HCF of 8 and 68 =
  37. 37.HCF of 100 and 55 =
  38. 38.HCF of 176 and 154 =
  39. 39.HCF of 114 and 84 =
  40. 40.HCF of 48 and 360 =

Answer key

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

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