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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 576 · 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 162 and 45 =
  2. 2.HCF of 39 and 18 =
  3. 3.HCF of 49 and 70 =
  4. 4.HCF of 40 and 38 =
  5. 5.HCF of 247 and 285 =
  6. 6.HCF of 105 and 189 =
  7. 7.HCF of 42 and 147 =
  8. 8.HCF of 182 and 224 =
  9. 9.HCF of 102 and 36 =
  10. 10.HCF of 84 and 105 =
  11. 11.HCF of 68 and 52 =
  12. 12.HCF of 320 and 220 =
  13. 13.HCF of 65 and 247 =
  14. 14.HCF of 45 and 81 =
  15. 15.HCF of 119 and 102 =
  16. 16.HCF of 30 and 34 =
  17. 17.HCF of 171 and 27 =
  18. 18.HCF of 12 and 44 =
  19. 19.HCF of 21 and 140 =
  20. 20.HCF of 304 and 240 =
  21. 21.HCF of 28 and 119 =
  22. 22.HCF of 45 and 27 =
  23. 23.HCF of 266 and 42 =
  24. 24.HCF of 323 and 68 =
  25. 25.HCF of 21 and 18 =
  26. 26.HCF of 28 and 60 =
  27. 27.HCF of 138 and 161 =
  28. 28.HCF of 209 and 66 =
  29. 29.HCF of 68 and 52 =
  30. 30.HCF of 16 and 26 =
  31. 31.HCF of 28 and 8 =
  32. 32.HCF of 24 and 51 =
  33. 33.HCF of 35 and 91 =
  34. 34.HCF of 136 and 24 =
  35. 35.HCF of 60 and 32 =
  36. 36.HCF of 133 and 247 =
  37. 37.HCF of 55 and 15 =
  38. 38.HCF of 187 and 102 =
  39. 39.HCF of 57 and 15 =
  40. 40.HCF of 238 and 154 =

Answer key

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

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