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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 550 · 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 44 and 28 =
  2. 2.HCF of 27 and 21 =
  3. 3.HCF of 375 and 200 =
  4. 4.HCF of 144 and 272 =
  5. 5.HCF of 325 and 50 =
  6. 6.HCF of 42 and 90 =
  7. 7.HCF of 63 and 336 =
  8. 8.HCF of 286 and 110 =
  9. 9.HCF of 66 and 30 =
  10. 10.HCF of 165 and 30 =
  11. 11.HCF of 234 and 270 =
  12. 12.HCF of 50 and 85 =
  13. 13.HCF of 169 and 78 =
  14. 14.HCF of 78 and 108 =
  15. 15.HCF of 45 and 150 =
  16. 16.HCF of 85 and 15 =
  17. 17.HCF of 323 and 114 =
  18. 18.HCF of 105 and 119 =
  19. 19.HCF of 136 and 112 =
  20. 20.HCF of 24 and 204 =
  21. 21.HCF of 160 and 300 =
  22. 22.HCF of 187 and 33 =
  23. 23.HCF of 12 and 27 =
  24. 24.HCF of 391 and 345 =
  25. 25.HCF of 115 and 92 =
  26. 26.HCF of 288 and 112 =
  27. 27.HCF of 154 and 238 =
  28. 28.HCF of 84 and 133 =
  29. 29.HCF of 135 and 18 =
  30. 30.HCF of 60 and 32 =
  31. 31.HCF of 38 and 4 =
  32. 32.HCF of 90 and 234 =
  33. 33.HCF of 143 and 78 =
  34. 34.HCF of 80 and 288 =
  35. 35.HCF of 91 and 21 =
  36. 36.HCF of 144 and 64 =
  37. 37.HCF of 225 and 175 =
  38. 38.HCF of 69 and 161 =
  39. 39.HCF of 126 and 180 =
  40. 40.HCF of 266 and 196 =

Answer key

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

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