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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 797 · 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 18 and 84 =
  2. 2.HCF of 36 and 39 =
  3. 3.HCF of 30 and 25 =
  4. 4.HCF of 10 and 38 =
  5. 5.HCF of 380 and 120 =
  6. 6.HCF of 340 and 221 =
  7. 7.HCF of 35 and 119 =
  8. 8.HCF of 112 and 21 =
  9. 9.HCF of 400 and 260 =
  10. 10.HCF of 77 and 28 =
  11. 11.HCF of 70 and 21 =
  12. 12.HCF of 36 and 16 =
  13. 13.HCF of 20 and 110 =
  14. 14.HCF of 252 and 306 =
  15. 15.HCF of 221 and 52 =
  16. 16.HCF of 238 and 255 =
  17. 17.HCF of 57 and 247 =
  18. 18.HCF of 285 and 150 =
  19. 19.HCF of 437 and 115 =
  20. 20.HCF of 51 and 272 =
  21. 21.HCF of 60 and 100 =
  22. 22.HCF of 114 and 96 =
  23. 23.HCF of 138 and 115 =
  24. 24.HCF of 26 and 8 =
  25. 25.HCF of 171 and 209 =
  26. 26.HCF of 56 and 126 =
  27. 27.HCF of 14 and 105 =
  28. 28.HCF of 176 and 66 =
  29. 29.HCF of 28 and 154 =
  30. 30.HCF of 264 and 336 =
  31. 31.HCF of 69 and 299 =
  32. 32.HCF of 105 and 300 =
  33. 33.HCF of 209 and 323 =
  34. 34.HCF of 153 and 323 =
  35. 35.HCF of 66 and 120 =
  36. 36.HCF of 4 and 6 =
  37. 37.HCF of 187 and 44 =
  38. 38.HCF of 77 and 140 =
  39. 39.HCF of 238 and 140 =
  40. 40.HCF of 72 and 135 =

Answer key

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

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