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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 725 · 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 24 and 228 =
  2. 2.HCF of 136 and 32 =
  3. 3.HCF of 100 and 340 =
  4. 4.HCF of 35 and 25 =
  5. 5.HCF of 221 and 187 =
  6. 6.HCF of 95 and 100 =
  7. 7.HCF of 72 and 114 =
  8. 8.HCF of 360 and 384 =
  9. 9.HCF of 60 and 216 =
  10. 10.HCF of 160 and 100 =
  11. 11.HCF of 54 and 306 =
  12. 12.HCF of 117 and 27 =
  13. 13.HCF of 48 and 84 =
  14. 14.HCF of 65 and 50 =
  15. 15.HCF of 18 and 40 =
  16. 16.HCF of 154 and 110 =
  17. 17.HCF of 280 and 182 =
  18. 18.HCF of 52 and 24 =
  19. 19.HCF of 315 and 357 =
  20. 20.HCF of 9 and 24 =
  21. 21.HCF of 323 and 306 =
  22. 22.HCF of 48 and 228 =
  23. 23.HCF of 270 and 126 =
  24. 24.HCF of 304 and 32 =
  25. 25.HCF of 323 and 289 =
  26. 26.HCF of 65 and 143 =
  27. 27.HCF of 88 and 24 =
  28. 28.HCF of 374 and 176 =
  29. 29.HCF of 150 and 325 =
  30. 30.HCF of 119 and 102 =
  31. 31.HCF of 144 and 90 =
  32. 32.HCF of 170 and 110 =
  33. 33.HCF of 104 and 40 =
  34. 34.HCF of 120 and 56 =
  35. 35.HCF of 48 and 256 =
  36. 36.HCF of 225 and 400 =
  37. 37.HCF of 60 and 220 =
  38. 38.HCF of 304 and 32 =
  39. 39.HCF of 78 and 72 =
  40. 40.HCF of 48 and 20 =

Answer key

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

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