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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 714 · 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 68 and 255 =
  2. 2.HCF of 84 and 78 =
  3. 3.HCF of 242 and 154 =
  4. 4.HCF of 56 and 70 =
  5. 5.HCF of 207 and 46 =
  6. 6.HCF of 150 and 20 =
  7. 7.HCF of 48 and 60 =
  8. 8.HCF of 45 and 150 =
  9. 9.HCF of 30 and 170 =
  10. 10.HCF of 20 and 64 =
  11. 11.HCF of 176 and 286 =
  12. 12.HCF of 380 and 120 =
  13. 13.HCF of 100 and 75 =
  14. 14.HCF of 98 and 182 =
  15. 15.HCF of 22 and 121 =
  16. 16.HCF of 4 and 10 =
  17. 17.HCF of 48 and 44 =
  18. 18.HCF of 247 and 361 =
  19. 19.HCF of 144 and 156 =
  20. 20.HCF of 105 and 133 =
  21. 21.HCF of 255 and 90 =
  22. 22.HCF of 115 and 414 =
  23. 23.HCF of 36 and 14 =
  24. 24.HCF of 68 and 80 =
  25. 25.HCF of 323 and 272 =
  26. 26.HCF of 63 and 336 =
  27. 27.HCF of 253 and 437 =
  28. 28.HCF of 272 and 256 =
  29. 29.HCF of 39 and 15 =
  30. 30.HCF of 51 and 187 =
  31. 31.HCF of 170 and 180 =
  32. 32.HCF of 300 and 40 =
  33. 33.HCF of 96 and 40 =
  34. 34.HCF of 60 and 40 =
  35. 35.HCF of 323 and 68 =
  36. 36.HCF of 30 and 50 =
  37. 37.HCF of 54 and 66 =
  38. 38.HCF of 340 and 360 =
  39. 39.HCF of 28 and 80 =
  40. 40.HCF of 170 and 130 =

Answer key

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

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