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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 125 · 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 55 and 176 =
  2. 2.HCF of 209 and 44 =
  3. 3.HCF of 72 and 112 =
  4. 4.HCF of 40 and 300 =
  5. 5.HCF of 112 and 104 =
  6. 6.HCF of 51 and 187 =
  7. 7.HCF of 20 and 48 =
  8. 8.HCF of 90 and 24 =
  9. 9.HCF of 36 and 76 =
  10. 10.HCF of 66 and 440 =
  11. 11.HCF of 280 and 100 =
  12. 12.HCF of 391 and 69 =
  13. 13.HCF of 57 and 95 =
  14. 14.HCF of 70 and 180 =
  15. 15.HCF of 56 and 12 =
  16. 16.HCF of 75 and 350 =
  17. 17.HCF of 126 and 198 =
  18. 18.HCF of 52 and 20 =
  19. 19.HCF of 221 and 153 =
  20. 20.HCF of 190 and 133 =
  21. 21.HCF of 187 and 55 =
  22. 22.HCF of 12 and 14 =
  23. 23.HCF of 289 and 170 =
  24. 24.HCF of 45 and 75 =
  25. 25.HCF of 42 and 18 =
  26. 26.HCF of 357 and 126 =
  27. 27.HCF of 247 and 104 =
  28. 28.HCF of 204 and 221 =
  29. 29.HCF of 108 and 66 =
  30. 30.HCF of 361 and 38 =
  31. 31.HCF of 189 and 105 =
  32. 32.HCF of 110 and 50 =
  33. 33.HCF of 38 and 14 =
  34. 34.HCF of 15 and 27 =
  35. 35.HCF of 4 and 34 =
  36. 36.HCF of 120 and 16 =
  37. 37.HCF of 76 and 80 =
  38. 38.HCF of 30 and 34 =
  39. 39.HCF of 32 and 76 =
  40. 40.HCF of 48 and 112 =

Answer key

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

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