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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 475 · 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 175 and 475 =
  2. 2.HCF of 182 and 28 =
  3. 3.HCF of 54 and 114 =
  4. 4.HCF of 110 and 50 =
  5. 5.HCF of 27 and 72 =
  6. 6.HCF of 75 and 175 =
  7. 7.HCF of 42 and 78 =
  8. 8.HCF of 168 and 108 =
  9. 9.HCF of 32 and 24 =
  10. 10.HCF of 6 and 40 =
  11. 11.HCF of 65 and 208 =
  12. 12.HCF of 14 and 105 =
  13. 13.HCF of 153 and 85 =
  14. 14.HCF of 57 and 42 =
  15. 15.HCF of 96 and 66 =
  16. 16.HCF of 396 and 418 =
  17. 17.HCF of 60 and 44 =
  18. 18.HCF of 24 and 36 =
  19. 19.HCF of 12 and 28 =
  20. 20.HCF of 10 and 18 =
  21. 21.HCF of 24 and 56 =
  22. 22.HCF of 114 and 42 =
  23. 23.HCF of 238 and 221 =
  24. 24.HCF of 105 and 147 =
  25. 25.HCF of 207 and 253 =
  26. 26.HCF of 15 and 12 =
  27. 27.HCF of 34 and 24 =
  28. 28.HCF of 60 and 54 =
  29. 29.HCF of 10 and 6 =
  30. 30.HCF of 391 and 345 =
  31. 31.HCF of 133 and 209 =
  32. 32.HCF of 66 and 88 =
  33. 33.HCF of 247 and 285 =
  34. 34.HCF of 60 and 105 =
  35. 35.HCF of 44 and 66 =
  36. 36.HCF of 275 and 450 =
  37. 37.HCF of 28 and 22 =
  38. 38.HCF of 156 and 65 =
  39. 39.HCF of 48 and 15 =
  40. 40.HCF of 33 and 77 =

Answer key

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

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