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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 40 · 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 36 =
  2. 2.HCF of 56 and 21 =
  3. 3.HCF of 285 and 133 =
  4. 4.HCF of 110 and 187 =
  5. 5.HCF of 126 and 306 =
  6. 6.HCF of 380 and 133 =
  7. 7.HCF of 320 and 112 =
  8. 8.HCF of 456 and 168 =
  9. 9.HCF of 330 and 176 =
  10. 10.HCF of 14 and 12 =
  11. 11.HCF of 126 and 135 =
  12. 12.HCF of 15 and 20 =
  13. 13.HCF of 48 and 44 =
  14. 14.HCF of 176 and 96 =
  15. 15.HCF of 34 and 18 =
  16. 16.HCF of 85 and 136 =
  17. 17.HCF of 75 and 165 =
  18. 18.HCF of 54 and 360 =
  19. 19.HCF of 42 and 70 =
  20. 20.HCF of 77 and 209 =
  21. 21.HCF of 437 and 391 =
  22. 22.HCF of 6 and 14 =
  23. 23.HCF of 121 and 55 =
  24. 24.HCF of 32 and 104 =
  25. 25.HCF of 209 and 380 =
  26. 26.HCF of 168 and 384 =
  27. 27.HCF of 25 and 40 =
  28. 28.HCF of 60 and 204 =
  29. 29.HCF of 150 and 175 =
  30. 30.HCF of 234 and 72 =
  31. 31.HCF of 176 and 272 =
  32. 32.HCF of 150 and 70 =
  33. 33.HCF of 30 and 51 =
  34. 34.HCF of 35 and 126 =
  35. 35.HCF of 80 and 70 =
  36. 36.HCF of 14 and 77 =
  37. 37.HCF of 28 and 68 =
  38. 38.HCF of 340 and 140 =
  39. 39.HCF of 266 and 196 =
  40. 40.HCF of 75 and 175 =

Answer key

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

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