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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 667 · 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 28 and 49 =
  2. 2.HCF of 14 and 38 =
  3. 3.HCF of 57 and 18 =
  4. 4.HCF of 368 and 253 =
  5. 5.HCF of 208 and 96 =
  6. 6.HCF of 234 and 180 =
  7. 7.HCF of 16 and 56 =
  8. 8.HCF of 8 and 34 =
  9. 9.HCF of 140 and 42 =
  10. 10.HCF of 210 and 231 =
  11. 11.HCF of 198 and 180 =
  12. 12.HCF of 119 and 51 =
  13. 13.HCF of 50 and 110 =
  14. 14.HCF of 300 and 105 =
  15. 15.HCF of 18 and 96 =
  16. 16.HCF of 57 and 9 =
  17. 17.HCF of 91 and 195 =
  18. 18.HCF of 95 and 25 =
  19. 19.HCF of 187 and 154 =
  20. 20.HCF of 247 and 78 =
  21. 21.HCF of 152 and 40 =
  22. 22.HCF of 44 and 72 =
  23. 23.HCF of 130 and 60 =
  24. 24.HCF of 198 and 234 =
  25. 25.HCF of 420 and 399 =
  26. 26.HCF of 209 and 132 =
  27. 27.HCF of 180 and 200 =
  28. 28.HCF of 117 and 143 =
  29. 29.HCF of 184 and 69 =
  30. 30.HCF of 51 and 68 =
  31. 31.HCF of 30 and 34 =
  32. 32.HCF of 256 and 272 =
  33. 33.HCF of 84 and 96 =
  34. 34.HCF of 132 and 209 =
  35. 35.HCF of 350 and 225 =
  36. 36.HCF of 400 and 325 =
  37. 37.HCF of 55 and 121 =
  38. 38.HCF of 25 and 20 =
  39. 39.HCF of 80 and 24 =
  40. 40.HCF of 22 and 8 =

Answer key

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

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