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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 771 · 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 104 and 169 =
  2. 2.HCF of 200 and 375 =
  3. 3.HCF of 39 and 104 =
  4. 4.HCF of 176 and 33 =
  5. 5.HCF of 147 and 105 =
  6. 6.HCF of 133 and 56 =
  7. 7.HCF of 25 and 30 =
  8. 8.HCF of 20 and 75 =
  9. 9.HCF of 180 and 40 =
  10. 10.HCF of 256 and 112 =
  11. 11.HCF of 315 and 273 =
  12. 12.HCF of 143 and 169 =
  13. 13.HCF of 32 and 40 =
  14. 14.HCF of 52 and 56 =
  15. 15.HCF of 10 and 14 =
  16. 16.HCF of 24 and 156 =
  17. 17.HCF of 48 and 54 =
  18. 18.HCF of 253 and 46 =
  19. 19.HCF of 18 and 12 =
  20. 20.HCF of 189 and 273 =
  21. 21.HCF of 308 and 198 =
  22. 22.HCF of 88 and 286 =
  23. 23.HCF of 128 and 144 =
  24. 24.HCF of 264 and 154 =
  25. 25.HCF of 84 and 120 =
  26. 26.HCF of 361 and 380 =
  27. 27.HCF of 260 and 360 =
  28. 28.HCF of 77 and 112 =
  29. 29.HCF of 8 and 26 =
  30. 30.HCF of 285 and 30 =
  31. 31.HCF of 68 and 8 =
  32. 32.HCF of 57 and 33 =
  33. 33.HCF of 65 and 95 =
  34. 34.HCF of 154 and 66 =
  35. 35.HCF of 162 and 306 =
  36. 36.HCF of 28 and 34 =
  37. 37.HCF of 102 and 96 =
  38. 38.HCF of 144 and 456 =
  39. 39.HCF of 60 and 48 =
  40. 40.HCF of 80 and 24 =

Answer key

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

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