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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 586 · 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 72 and 228 =
  2. 2.HCF of 228 and 96 =
  3. 3.HCF of 80 and 72 =
  4. 4.HCF of 247 and 38 =
  5. 5.HCF of 198 and 44 =
  6. 6.HCF of 140 and 60 =
  7. 7.HCF of 112 and 63 =
  8. 8.HCF of 14 and 10 =
  9. 9.HCF of 176 and 77 =
  10. 10.HCF of 84 and 266 =
  11. 11.HCF of 288 and 90 =
  12. 12.HCF of 121 and 187 =
  13. 13.HCF of 12 and 9 =
  14. 14.HCF of 384 and 72 =
  15. 15.HCF of 189 and 399 =
  16. 16.HCF of 84 and 105 =
  17. 17.HCF of 323 and 255 =
  18. 18.HCF of 182 and 117 =
  19. 19.HCF of 165 and 45 =
  20. 20.HCF of 125 and 150 =
  21. 21.HCF of 91 and 143 =
  22. 22.HCF of 247 and 91 =
  23. 23.HCF of 42 and 140 =
  24. 24.HCF of 80 and 180 =
  25. 25.HCF of 45 and 65 =
  26. 26.HCF of 24 and 54 =
  27. 27.HCF of 34 and 26 =
  28. 28.HCF of 104 and 32 =
  29. 29.HCF of 480 and 312 =
  30. 30.HCF of 204 and 156 =
  31. 31.HCF of 10 and 22 =
  32. 32.HCF of 196 and 42 =
  33. 33.HCF of 20 and 28 =
  34. 34.HCF of 9 and 48 =
  35. 35.HCF of 133 and 114 =
  36. 36.HCF of 75 and 35 =
  37. 37.HCF of 77 and 198 =
  38. 38.HCF of 112 and 154 =
  39. 39.HCF of 187 and 272 =
  40. 40.HCF of 14 and 10 =

Answer key

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

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