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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 22 · 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 80 and 25 =
  2. 2.HCF of 32 and 14 =
  3. 3.HCF of 361 and 323 =
  4. 4.HCF of 150 and 325 =
  5. 5.HCF of 170 and 40 =
  6. 6.HCF of 98 and 182 =
  7. 7.HCF of 54 and 57 =
  8. 8.HCF of 154 and 440 =
  9. 9.HCF of 56 and 91 =
  10. 10.HCF of 112 and 238 =
  11. 11.HCF of 60 and 33 =
  12. 12.HCF of 143 and 33 =
  13. 13.HCF of 228 and 168 =
  14. 14.HCF of 68 and 16 =
  15. 15.HCF of 45 and 70 =
  16. 16.HCF of 78 and 54 =
  17. 17.HCF of 252 and 234 =
  18. 18.HCF of 152 and 88 =
  19. 19.HCF of 66 and 114 =
  20. 20.HCF of 78 and 90 =
  21. 21.HCF of 90 and 63 =
  22. 22.HCF of 28 and 238 =
  23. 23.HCF of 81 and 117 =
  24. 24.HCF of 299 and 92 =
  25. 25.HCF of 285 and 304 =
  26. 26.HCF of 78 and 65 =
  27. 27.HCF of 99 and 187 =
  28. 28.HCF of 28 and 238 =
  29. 29.HCF of 21 and 77 =
  30. 30.HCF of 126 and 153 =
  31. 31.HCF of 224 and 304 =
  32. 32.HCF of 252 and 342 =
  33. 33.HCF of 143 and 182 =
  34. 34.HCF of 16 and 20 =
  35. 35.HCF of 400 and 180 =
  36. 36.HCF of 105 and 75 =
  37. 37.HCF of 84 and 35 =
  38. 38.HCF of 230 and 391 =
  39. 39.HCF of 196 and 182 =
  40. 40.HCF of 391 and 322 =

Answer key

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

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