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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 829 · 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 75 and 475 =
  2. 2.HCF of 24 and 228 =
  3. 3.HCF of 77 and 33 =
  4. 4.HCF of 143 and 221 =
  5. 5.HCF of 114 and 30 =
  6. 6.HCF of 384 and 360 =
  7. 7.HCF of 408 and 240 =
  8. 8.HCF of 128 and 240 =
  9. 9.HCF of 162 and 72 =
  10. 10.HCF of 216 and 204 =
  11. 11.HCF of 88 and 16 =
  12. 12.HCF of 255 and 60 =
  13. 13.HCF of 51 and 289 =
  14. 14.HCF of 304 and 176 =
  15. 15.HCF of 221 and 39 =
  16. 16.HCF of 221 and 255 =
  17. 17.HCF of 121 and 88 =
  18. 18.HCF of 440 and 242 =
  19. 19.HCF of 66 and 30 =
  20. 20.HCF of 40 and 140 =
  21. 21.HCF of 30 and 54 =
  22. 22.HCF of 130 and 20 =
  23. 23.HCF of 90 and 285 =
  24. 24.HCF of 24 and 16 =
  25. 25.HCF of 126 and 90 =
  26. 26.HCF of 117 and 63 =
  27. 27.HCF of 78 and 12 =
  28. 28.HCF of 247 and 152 =
  29. 29.HCF of 85 and 10 =
  30. 30.HCF of 90 and 78 =
  31. 31.HCF of 56 and 154 =
  32. 32.HCF of 90 and 144 =
  33. 33.HCF of 140 and 240 =
  34. 34.HCF of 55 and 60 =
  35. 35.HCF of 39 and 45 =
  36. 36.HCF of 51 and 21 =
  37. 37.HCF of 360 and 312 =
  38. 38.HCF of 180 and 75 =
  39. 39.HCF of 12 and 68 =
  40. 40.HCF of 24 and 60 =

Answer key

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

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