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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 801 · 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 15 and 85 =
  2. 2.HCF of 299 and 391 =
  3. 3.HCF of 56 and 77 =
  4. 4.HCF of 24 and 20 =
  5. 5.HCF of 270 and 165 =
  6. 6.HCF of 132 and 84 =
  7. 7.HCF of 84 and 49 =
  8. 8.HCF of 143 and 22 =
  9. 9.HCF of 120 and 36 =
  10. 10.HCF of 30 and 42 =
  11. 11.HCF of 91 and 105 =
  12. 12.HCF of 70 and 42 =
  13. 13.HCF of 105 and 285 =
  14. 14.HCF of 272 and 144 =
  15. 15.HCF of 114 and 108 =
  16. 16.HCF of 140 and 300 =
  17. 17.HCF of 160 and 152 =
  18. 18.HCF of 72 and 20 =
  19. 19.HCF of 40 and 140 =
  20. 20.HCF of 20 and 36 =
  21. 21.HCF of 133 and 84 =
  22. 22.HCF of 45 and 95 =
  23. 23.HCF of 76 and 44 =
  24. 24.HCF of 48 and 27 =
  25. 25.HCF of 85 and 238 =
  26. 26.HCF of 104 and 88 =
  27. 27.HCF of 34 and 8 =
  28. 28.HCF of 4 and 6 =
  29. 29.HCF of 285 and 60 =
  30. 30.HCF of 45 and 72 =
  31. 31.HCF of 374 and 286 =
  32. 32.HCF of 112 and 176 =
  33. 33.HCF of 36 and 24 =
  34. 34.HCF of 68 and 289 =
  35. 35.HCF of 100 and 65 =
  36. 36.HCF of 18 and 4 =
  37. 37.HCF of 44 and 66 =
  38. 38.HCF of 408 and 120 =
  39. 39.HCF of 50 and 20 =
  40. 40.HCF of 55 and 15 =

Answer key

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

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