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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 37 · 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 20 and 76 =
  2. 2.HCF of 198 and 77 =
  3. 3.HCF of 126 and 108 =
  4. 4.HCF of 75 and 60 =
  5. 5.HCF of 161 and 391 =
  6. 6.HCF of 168 and 180 =
  7. 7.HCF of 144 and 64 =
  8. 8.HCF of 280 and 380 =
  9. 9.HCF of 168 and 273 =
  10. 10.HCF of 18 and 12 =
  11. 11.HCF of 14 and 12 =
  12. 12.HCF of 228 and 36 =
  13. 13.HCF of 24 and 39 =
  14. 14.HCF of 63 and 119 =
  15. 15.HCF of 154 and 70 =
  16. 16.HCF of 70 and 15 =
  17. 17.HCF of 110 and 60 =
  18. 18.HCF of 20 and 44 =
  19. 19.HCF of 286 and 352 =
  20. 20.HCF of 60 and 144 =
  21. 21.HCF of 272 and 256 =
  22. 22.HCF of 120 and 136 =
  23. 23.HCF of 280 and 380 =
  24. 24.HCF of 169 and 221 =
  25. 25.HCF of 12 and 14 =
  26. 26.HCF of 75 and 475 =
  27. 27.HCF of 40 and 24 =
  28. 28.HCF of 132 and 77 =
  29. 29.HCF of 286 and 396 =
  30. 30.HCF of 72 and 20 =
  31. 31.HCF of 45 and 35 =
  32. 32.HCF of 133 and 28 =
  33. 33.HCF of 154 and 42 =
  34. 34.HCF of 92 and 115 =
  35. 35.HCF of 300 and 255 =
  36. 36.HCF of 198 and 252 =
  37. 37.HCF of 36 and 102 =
  38. 38.HCF of 136 and 72 =
  39. 39.HCF of 96 and 80 =
  40. 40.HCF of 225 and 285 =

Answer key

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

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