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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 430 · 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 204 and 119 =
  2. 2.HCF of 96 and 208 =
  3. 3.HCF of 342 and 252 =
  4. 4.HCF of 25 and 65 =
  5. 5.HCF of 160 and 72 =
  6. 6.HCF of 90 and 200 =
  7. 7.HCF of 399 and 84 =
  8. 8.HCF of 160 and 170 =
  9. 9.HCF of 70 and 50 =
  10. 10.HCF of 312 and 168 =
  11. 11.HCF of 54 and 360 =
  12. 12.HCF of 30 and 285 =
  13. 13.HCF of 60 and 33 =
  14. 14.HCF of 189 and 168 =
  15. 15.HCF of 195 and 208 =
  16. 16.HCF of 18 and 60 =
  17. 17.HCF of 48 and 176 =
  18. 18.HCF of 500 and 225 =
  19. 19.HCF of 18 and 39 =
  20. 20.HCF of 39 and 15 =
  21. 21.HCF of 161 and 460 =
  22. 22.HCF of 170 and 187 =
  23. 23.HCF of 56 and 80 =
  24. 24.HCF of 77 and 187 =
  25. 25.HCF of 210 and 273 =
  26. 26.HCF of 209 and 44 =
  27. 27.HCF of 100 and 75 =
  28. 28.HCF of 112 and 304 =
  29. 29.HCF of 255 and 68 =
  30. 30.HCF of 45 and 171 =
  31. 31.HCF of 35 and 65 =
  32. 32.HCF of 48 and 312 =
  33. 33.HCF of 36 and 45 =
  34. 34.HCF of 72 and 20 =
  35. 35.HCF of 225 and 100 =
  36. 36.HCF of 234 and 108 =
  37. 37.HCF of 60 and 96 =
  38. 38.HCF of 76 and 80 =
  39. 39.HCF of 190 and 20 =
  40. 40.HCF of 12 and 40 =

Answer key

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

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