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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 449 · 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 140 and 133 =
  2. 2.HCF of 60 and 50 =
  3. 3.HCF of 273 and 210 =
  4. 4.HCF of 42 and 140 =
  5. 5.HCF of 100 and 70 =
  6. 6.HCF of 126 and 105 =
  7. 7.HCF of 110 and 50 =
  8. 8.HCF of 85 and 20 =
  9. 9.HCF of 119 and 204 =
  10. 10.HCF of 286 and 220 =
  11. 11.HCF of 152 and 48 =
  12. 12.HCF of 33 and 209 =
  13. 13.HCF of 162 and 153 =
  14. 14.HCF of 55 and 90 =
  15. 15.HCF of 54 and 39 =
  16. 16.HCF of 96 and 204 =
  17. 17.HCF of 34 and 255 =
  18. 18.HCF of 54 and 33 =
  19. 19.HCF of 126 and 70 =
  20. 20.HCF of 90 and 25 =
  21. 21.HCF of 144 and 32 =
  22. 22.HCF of 54 and 36 =
  23. 23.HCF of 78 and 42 =
  24. 24.HCF of 190 and 150 =
  25. 25.HCF of 180 and 110 =
  26. 26.HCF of 27 and 30 =
  27. 27.HCF of 231 and 252 =
  28. 28.HCF of 168 and 360 =
  29. 29.HCF of 136 and 187 =
  30. 30.HCF of 285 and 152 =
  31. 31.HCF of 60 and 170 =
  32. 32.HCF of 260 and 380 =
  33. 33.HCF of 204 and 168 =
  34. 34.HCF of 312 and 384 =
  35. 35.HCF of 312 and 48 =
  36. 36.HCF of 10 and 75 =
  37. 37.HCF of 350 and 425 =
  38. 38.HCF of 135 and 210 =
  39. 39.HCF of 12 and 45 =
  40. 40.HCF of 75 and 275 =

Answer key

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

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