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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 319 · 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 306 and 234 =
  2. 2.HCF of 32 and 10 =
  3. 3.HCF of 35 and 15 =
  4. 4.HCF of 153 and 18 =
  5. 5.HCF of 80 and 272 =
  6. 6.HCF of 25 and 70 =
  7. 7.HCF of 21 and 133 =
  8. 8.HCF of 108 and 84 =
  9. 9.HCF of 77 and 98 =
  10. 10.HCF of 400 and 75 =
  11. 11.HCF of 352 and 66 =
  12. 12.HCF of 238 and 252 =
  13. 13.HCF of 110 and 20 =
  14. 14.HCF of 72 and 198 =
  15. 15.HCF of 40 and 144 =
  16. 16.HCF of 117 and 54 =
  17. 17.HCF of 85 and 20 =
  18. 18.HCF of 125 and 450 =
  19. 19.HCF of 45 and 70 =
  20. 20.HCF of 162 and 180 =
  21. 21.HCF of 126 and 81 =
  22. 22.HCF of 90 and 216 =
  23. 23.HCF of 238 and 70 =
  24. 24.HCF of 255 and 221 =
  25. 25.HCF of 168 and 240 =
  26. 26.HCF of 35 and 119 =
  27. 27.HCF of 126 and 133 =
  28. 28.HCF of 162 and 117 =
  29. 29.HCF of 112 and 49 =
  30. 30.HCF of 22 and 32 =
  31. 31.HCF of 60 and 105 =
  32. 32.HCF of 120 and 64 =
  33. 33.HCF of 52 and 195 =
  34. 34.HCF of 105 and 135 =
  35. 35.HCF of 69 and 161 =
  36. 36.HCF of 135 and 36 =
  37. 37.HCF of 119 and 102 =
  38. 38.HCF of 77 and 209 =
  39. 39.HCF of 160 and 144 =
  40. 40.HCF of 306 and 270 =

Answer key

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

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