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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 684 · 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 18 and 96 =
  2. 2.HCF of 16 and 18 =
  3. 3.HCF of 80 and 30 =
  4. 4.HCF of 24 and 68 =
  5. 5.HCF of 60 and 35 =
  6. 6.HCF of 78 and 65 =
  7. 7.HCF of 25 and 35 =
  8. 8.HCF of 85 and 306 =
  9. 9.HCF of 170 and 289 =
  10. 10.HCF of 18 and 153 =
  11. 11.HCF of 190 and 361 =
  12. 12.HCF of 133 and 28 =
  13. 13.HCF of 70 and 168 =
  14. 14.HCF of 75 and 20 =
  15. 15.HCF of 260 and 160 =
  16. 16.HCF of 80 and 56 =
  17. 17.HCF of 38 and 6 =
  18. 18.HCF of 25 and 90 =
  19. 19.HCF of 162 and 180 =
  20. 20.HCF of 342 and 270 =
  21. 21.HCF of 180 and 228 =
  22. 22.HCF of 105 and 56 =
  23. 23.HCF of 112 and 272 =
  24. 24.HCF of 21 and 28 =
  25. 25.HCF of 230 and 391 =
  26. 26.HCF of 21 and 6 =
  27. 27.HCF of 280 and 260 =
  28. 28.HCF of 128 and 80 =
  29. 29.HCF of 32 and 272 =
  30. 30.HCF of 133 and 70 =
  31. 31.HCF of 42 and 78 =
  32. 32.HCF of 210 and 189 =
  33. 33.HCF of 322 and 299 =
  34. 34.HCF of 16 and 104 =
  35. 35.HCF of 76 and 68 =
  36. 36.HCF of 160 and 136 =
  37. 37.HCF of 77 and 35 =
  38. 38.HCF of 66 and 121 =
  39. 39.HCF of 18 and 120 =
  40. 40.HCF of 95 and 57 =

Answer key

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

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