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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 221 · 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 56 and 80 =
  2. 2.HCF of 196 and 210 =
  3. 3.HCF of 104 and 80 =
  4. 4.HCF of 209 and 57 =
  5. 5.HCF of 105 and 378 =
  6. 6.HCF of 55 and 77 =
  7. 7.HCF of 92 and 345 =
  8. 8.HCF of 220 and 180 =
  9. 9.HCF of 391 and 345 =
  10. 10.HCF of 200 and 225 =
  11. 11.HCF of 33 and 24 =
  12. 12.HCF of 256 and 240 =
  13. 13.HCF of 288 and 176 =
  14. 14.HCF of 51 and 60 =
  15. 15.HCF of 60 and 170 =
  16. 16.HCF of 114 and 60 =
  17. 17.HCF of 90 and 80 =
  18. 18.HCF of 110 and 120 =
  19. 19.HCF of 143 and 88 =
  20. 20.HCF of 32 and 80 =
  21. 21.HCF of 57 and 38 =
  22. 22.HCF of 255 and 150 =
  23. 23.HCF of 300 and 280 =
  24. 24.HCF of 294 and 273 =
  25. 25.HCF of 84 and 49 =
  26. 26.HCF of 360 and 126 =
  27. 27.HCF of 308 and 110 =
  28. 28.HCF of 55 and 100 =
  29. 29.HCF of 32 and 38 =
  30. 30.HCF of 75 and 250 =
  31. 31.HCF of 45 and 285 =
  32. 32.HCF of 54 and 39 =
  33. 33.HCF of 266 and 171 =
  34. 34.HCF of 28 and 16 =
  35. 35.HCF of 78 and 54 =
  36. 36.HCF of 21 and 51 =
  37. 37.HCF of 28 and 36 =
  38. 38.HCF of 286 and 154 =
  39. 39.HCF of 42 and 78 =
  40. 40.HCF of 425 and 300 =

Answer key

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

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