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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 681 · 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 408 and 456 =
  2. 2.HCF of 45 and 12 =
  3. 3.HCF of 144 and 456 =
  4. 4.HCF of 6 and 32 =
  5. 5.HCF of 253 and 115 =
  6. 6.HCF of 270 and 255 =
  7. 7.HCF of 247 and 104 =
  8. 8.HCF of 195 and 285 =
  9. 9.HCF of 68 and 12 =
  10. 10.HCF of 77 and 63 =
  11. 11.HCF of 104 and 247 =
  12. 12.HCF of 266 and 126 =
  13. 13.HCF of 132 and 286 =
  14. 14.HCF of 112 and 208 =
  15. 15.HCF of 45 and 54 =
  16. 16.HCF of 221 and 104 =
  17. 17.HCF of 221 and 323 =
  18. 18.HCF of 21 and 14 =
  19. 19.HCF of 25 and 80 =
  20. 20.HCF of 375 and 275 =
  21. 21.HCF of 25 and 40 =
  22. 22.HCF of 128 and 272 =
  23. 23.HCF of 340 and 160 =
  24. 24.HCF of 78 and 24 =
  25. 25.HCF of 100 and 95 =
  26. 26.HCF of 30 and 100 =
  27. 27.HCF of 153 and 68 =
  28. 28.HCF of 72 and 152 =
  29. 29.HCF of 133 and 91 =
  30. 30.HCF of 16 and 24 =
  31. 31.HCF of 75 and 270 =
  32. 32.HCF of 255 and 270 =
  33. 33.HCF of 96 and 156 =
  34. 34.HCF of 30 and 105 =
  35. 35.HCF of 48 and 176 =
  36. 36.HCF of 39 and 57 =
  37. 37.HCF of 90 and 48 =
  38. 38.HCF of 40 and 52 =
  39. 39.HCF of 72 and 136 =
  40. 40.HCF of 104 and 24 =

Answer key

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

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