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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 779 · 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 64 and 76 =
  2. 2.HCF of 126 and 266 =
  3. 3.HCF of 30 and 285 =
  4. 4.HCF of 28 and 35 =
  5. 5.HCF of 150 and 130 =
  6. 6.HCF of 126 and 231 =
  7. 7.HCF of 28 and 34 =
  8. 8.HCF of 304 and 361 =
  9. 9.HCF of 90 and 27 =
  10. 10.HCF of 12 and 66 =
  11. 11.HCF of 432 and 168 =
  12. 12.HCF of 18 and 16 =
  13. 13.HCF of 33 and 88 =
  14. 14.HCF of 18 and 38 =
  15. 15.HCF of 77 and 44 =
  16. 16.HCF of 80 and 75 =
  17. 17.HCF of 33 and 51 =
  18. 18.HCF of 285 and 323 =
  19. 19.HCF of 60 and 168 =
  20. 20.HCF of 256 and 304 =
  21. 21.HCF of 22 and 30 =
  22. 22.HCF of 400 and 220 =
  23. 23.HCF of 12 and 68 =
  24. 24.HCF of 180 and 132 =
  25. 25.HCF of 92 and 115 =
  26. 26.HCF of 40 and 35 =
  27. 27.HCF of 90 and 66 =
  28. 28.HCF of 55 and 77 =
  29. 29.HCF of 45 and 108 =
  30. 30.HCF of 100 and 425 =
  31. 31.HCF of 308 and 66 =
  32. 32.HCF of 153 and 34 =
  33. 33.HCF of 60 and 190 =
  34. 34.HCF of 26 and 14 =
  35. 35.HCF of 225 and 240 =
  36. 36.HCF of 189 and 231 =
  37. 37.HCF of 192 and 72 =
  38. 38.HCF of 440 and 198 =
  39. 39.HCF of 221 and 234 =
  40. 40.HCF of 350 and 275 =

Answer key

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

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