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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 613 · 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 48 and 40 =
  2. 2.HCF of 92 and 115 =
  3. 3.HCF of 27 and 24 =
  4. 4.HCF of 51 and 15 =
  5. 5.HCF of 161 and 69 =
  6. 6.HCF of 32 and 72 =
  7. 7.HCF of 35 and 84 =
  8. 8.HCF of 72 and 78 =
  9. 9.HCF of 216 and 198 =
  10. 10.HCF of 275 and 375 =
  11. 11.HCF of 288 and 312 =
  12. 12.HCF of 380 and 40 =
  13. 13.HCF of 126 and 357 =
  14. 14.HCF of 285 and 76 =
  15. 15.HCF of 75 and 20 =
  16. 16.HCF of 12 and 16 =
  17. 17.HCF of 20 and 38 =
  18. 18.HCF of 270 and 72 =
  19. 19.HCF of 299 and 138 =
  20. 20.HCF of 320 and 272 =
  21. 21.HCF of 234 and 143 =
  22. 22.HCF of 175 and 375 =
  23. 23.HCF of 105 and 357 =
  24. 24.HCF of 121 and 220 =
  25. 25.HCF of 209 and 76 =
  26. 26.HCF of 81 and 171 =
  27. 27.HCF of 33 and 48 =
  28. 28.HCF of 24 and 114 =
  29. 29.HCF of 108 and 66 =
  30. 30.HCF of 234 and 169 =
  31. 31.HCF of 136 and 72 =
  32. 32.HCF of 32 and 80 =
  33. 33.HCF of 204 and 168 =
  34. 34.HCF of 190 and 209 =
  35. 35.HCF of 35 and 85 =
  36. 36.HCF of 60 and 32 =
  37. 37.HCF of 42 and 238 =
  38. 38.HCF of 304 and 176 =
  39. 39.HCF of 133 and 98 =
  40. 40.HCF of 170 and 180 =

Answer key

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

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