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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 248 · 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 228 and 247 =
  2. 2.HCF of 100 and 475 =
  3. 3.HCF of 105 and 336 =
  4. 4.HCF of 54 and 144 =
  5. 5.HCF of 77 and 35 =
  6. 6.HCF of 192 and 312 =
  7. 7.HCF of 133 and 70 =
  8. 8.HCF of 27 and 45 =
  9. 9.HCF of 22 and 6 =
  10. 10.HCF of 240 and 380 =
  11. 11.HCF of 144 and 60 =
  12. 12.HCF of 77 and 165 =
  13. 13.HCF of 209 and 176 =
  14. 14.HCF of 45 and 24 =
  15. 15.HCF of 120 and 288 =
  16. 16.HCF of 100 and 475 =
  17. 17.HCF of 12 and 8 =
  18. 18.HCF of 187 and 88 =
  19. 19.HCF of 20 and 14 =
  20. 20.HCF of 114 and 66 =
  21. 21.HCF of 400 and 340 =
  22. 22.HCF of 85 and 51 =
  23. 23.HCF of 42 and 77 =
  24. 24.HCF of 56 and 238 =
  25. 25.HCF of 247 and 171 =
  26. 26.HCF of 304 and 133 =
  27. 27.HCF of 95 and 266 =
  28. 28.HCF of 56 and 49 =
  29. 29.HCF of 90 and 36 =
  30. 30.HCF of 75 and 90 =
  31. 31.HCF of 30 and 28 =
  32. 32.HCF of 170 and 60 =
  33. 33.HCF of 52 and 12 =
  34. 34.HCF of 14 and 4 =
  35. 35.HCF of 96 and 78 =
  36. 36.HCF of 272 and 255 =
  37. 37.HCF of 45 and 48 =
  38. 38.HCF of 170 and 323 =
  39. 39.HCF of 64 and 52 =
  40. 40.HCF of 42 and 120 =

Answer key

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

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