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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 632 · 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 9 and 12 =
  2. 2.HCF of 77 and 132 =
  3. 3.HCF of 88 and 165 =
  4. 4.HCF of 360 and 456 =
  5. 5.HCF of 30 and 75 =
  6. 6.HCF of 252 and 266 =
  7. 7.HCF of 323 and 361 =
  8. 8.HCF of 273 and 189 =
  9. 9.HCF of 120 and 96 =
  10. 10.HCF of 126 and 49 =
  11. 11.HCF of 460 and 437 =
  12. 12.HCF of 143 and 121 =
  13. 13.HCF of 8 and 38 =
  14. 14.HCF of 108 and 90 =
  15. 15.HCF of 126 and 28 =
  16. 16.HCF of 437 and 230 =
  17. 17.HCF of 138 and 161 =
  18. 18.HCF of 32 and 272 =
  19. 19.HCF of 24 and 36 =
  20. 20.HCF of 48 and 36 =
  21. 21.HCF of 81 and 126 =
  22. 22.HCF of 399 and 420 =
  23. 23.HCF of 91 and 105 =
  24. 24.HCF of 198 and 77 =
  25. 25.HCF of 154 and 126 =
  26. 26.HCF of 154 and 28 =
  27. 27.HCF of 120 and 105 =
  28. 28.HCF of 299 and 230 =
  29. 29.HCF of 96 and 102 =
  30. 30.HCF of 294 and 273 =
  31. 31.HCF of 126 and 72 =
  32. 32.HCF of 200 and 220 =
  33. 33.HCF of 132 and 240 =
  34. 34.HCF of 266 and 285 =
  35. 35.HCF of 187 and 165 =
  36. 36.HCF of 380 and 323 =
  37. 37.HCF of 75 and 250 =
  38. 38.HCF of 24 and 52 =
  39. 39.HCF of 105 and 49 =
  40. 40.HCF of 50 and 110 =

Answer key

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

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