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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 70 · 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 102 and 84 =
  2. 2.HCF of 176 and 304 =
  3. 3.HCF of 195 and 225 =
  4. 4.HCF of 48 and 30 =
  5. 5.HCF of 57 and 15 =
  6. 6.HCF of 190 and 361 =
  7. 7.HCF of 42 and 280 =
  8. 8.HCF of 156 and 240 =
  9. 9.HCF of 105 and 90 =
  10. 10.HCF of 120 and 128 =
  11. 11.HCF of 32 and 72 =
  12. 12.HCF of 56 and 48 =
  13. 13.HCF of 80 and 12 =
  14. 14.HCF of 119 and 136 =
  15. 15.HCF of 24 and 28 =
  16. 16.HCF of 20 and 48 =
  17. 17.HCF of 110 and 180 =
  18. 18.HCF of 26 and 10 =
  19. 19.HCF of 21 and 60 =
  20. 20.HCF of 272 and 51 =
  21. 21.HCF of 49 and 42 =
  22. 22.HCF of 15 and 35 =
  23. 23.HCF of 28 and 20 =
  24. 24.HCF of 130 and 117 =
  25. 25.HCF of 18 and 114 =
  26. 26.HCF of 40 and 260 =
  27. 27.HCF of 68 and 16 =
  28. 28.HCF of 45 and 285 =
  29. 29.HCF of 40 and 190 =
  30. 30.HCF of 130 and 70 =
  31. 31.HCF of 168 and 154 =
  32. 32.HCF of 72 and 54 =
  33. 33.HCF of 76 and 16 =
  34. 34.HCF of 32 and 34 =
  35. 35.HCF of 187 and 204 =
  36. 36.HCF of 15 and 85 =
  37. 37.HCF of 352 and 374 =
  38. 38.HCF of 14 and 77 =
  39. 39.HCF of 27 and 126 =
  40. 40.HCF of 121 and 110 =

Answer key

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

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