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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 448 · 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 16 and 24 =
  2. 2.HCF of 342 and 180 =
  3. 3.HCF of 90 and 40 =
  4. 4.HCF of 52 and 169 =
  5. 5.HCF of 120 and 36 =
  6. 6.HCF of 57 and 33 =
  7. 7.HCF of 154 and 140 =
  8. 8.HCF of 228 and 204 =
  9. 9.HCF of 165 and 187 =
  10. 10.HCF of 65 and 26 =
  11. 11.HCF of 252 and 238 =
  12. 12.HCF of 304 and 320 =
  13. 13.HCF of 30 and 110 =
  14. 14.HCF of 72 and 80 =
  15. 15.HCF of 136 and 32 =
  16. 16.HCF of 225 and 250 =
  17. 17.HCF of 306 and 252 =
  18. 18.HCF of 120 and 78 =
  19. 19.HCF of 14 and 133 =
  20. 20.HCF of 105 and 119 =
  21. 21.HCF of 32 and 104 =
  22. 22.HCF of 98 and 70 =
  23. 23.HCF of 209 and 88 =
  24. 24.HCF of 115 and 253 =
  25. 25.HCF of 84 and 132 =
  26. 26.HCF of 66 and 308 =
  27. 27.HCF of 33 and 44 =
  28. 28.HCF of 75 and 500 =
  29. 29.HCF of 108 and 198 =
  30. 30.HCF of 12 and 114 =
  31. 31.HCF of 45 and 50 =
  32. 32.HCF of 375 and 100 =
  33. 33.HCF of 12 and 76 =
  34. 34.HCF of 9 and 15 =
  35. 35.HCF of 140 and 238 =
  36. 36.HCF of 21 and 28 =
  37. 37.HCF of 180 and 110 =
  38. 38.HCF of 368 and 253 =
  39. 39.HCF of 440 and 286 =
  40. 40.HCF of 28 and 133 =

Answer key

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

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