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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 494 · 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 57 and 18 =
  2. 2.HCF of 240 and 228 =
  3. 3.HCF of 66 and 30 =
  4. 4.HCF of 34 and 40 =
  5. 5.HCF of 160 and 90 =
  6. 6.HCF of 54 and 117 =
  7. 7.HCF of 60 and 190 =
  8. 8.HCF of 252 and 182 =
  9. 9.HCF of 250 and 325 =
  10. 10.HCF of 252 and 306 =
  11. 11.HCF of 35 and 49 =
  12. 12.HCF of 140 and 220 =
  13. 13.HCF of 144 and 320 =
  14. 14.HCF of 90 and 108 =
  15. 15.HCF of 228 and 180 =
  16. 16.HCF of 117 and 27 =
  17. 17.HCF of 216 and 240 =
  18. 18.HCF of 160 and 272 =
  19. 19.HCF of 60 and 192 =
  20. 20.HCF of 32 and 208 =
  21. 21.HCF of 154 and 266 =
  22. 22.HCF of 30 and 96 =
  23. 23.HCF of 45 and 85 =
  24. 24.HCF of 42 and 54 =
  25. 25.HCF of 72 and 60 =
  26. 26.HCF of 6 and 21 =
  27. 27.HCF of 60 and 204 =
  28. 28.HCF of 56 and 63 =
  29. 29.HCF of 180 and 260 =
  30. 30.HCF of 156 and 96 =
  31. 31.HCF of 96 and 208 =
  32. 32.HCF of 104 and 169 =
  33. 33.HCF of 10 and 4 =
  34. 34.HCF of 220 and 286 =
  35. 35.HCF of 21 and 98 =
  36. 36.HCF of 48 and 136 =
  37. 37.HCF of 180 and 228 =
  38. 38.HCF of 152 and 323 =
  39. 39.HCF of 75 and 10 =
  40. 40.HCF of 90 and 40 =

Answer key

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

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