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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 706 · 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 57 and 76 =
  2. 2.HCF of 100 and 80 =
  3. 3.HCF of 112 and 48 =
  4. 4.HCF of 323 and 85 =
  5. 5.HCF of 380 and 323 =
  6. 6.HCF of 88 and 16 =
  7. 7.HCF of 300 and 125 =
  8. 8.HCF of 224 and 238 =
  9. 9.HCF of 100 and 360 =
  10. 10.HCF of 360 and 380 =
  11. 11.HCF of 125 and 400 =
  12. 12.HCF of 342 and 180 =
  13. 13.HCF of 126 and 357 =
  14. 14.HCF of 20 and 22 =
  15. 15.HCF of 44 and 242 =
  16. 16.HCF of 126 and 357 =
  17. 17.HCF of 140 and 80 =
  18. 18.HCF of 154 and 121 =
  19. 19.HCF of 114 and 84 =
  20. 20.HCF of 105 and 273 =
  21. 21.HCF of 64 and 24 =
  22. 22.HCF of 18 and 78 =
  23. 23.HCF of 66 and 72 =
  24. 24.HCF of 18 and 8 =
  25. 25.HCF of 36 and 228 =
  26. 26.HCF of 63 and 54 =
  27. 27.HCF of 12 and 34 =
  28. 28.HCF of 187 and 99 =
  29. 29.HCF of 180 and 27 =
  30. 30.HCF of 20 and 65 =
  31. 31.HCF of 45 and 20 =
  32. 32.HCF of 456 and 192 =
  33. 33.HCF of 45 and 70 =
  34. 34.HCF of 180 and 156 =
  35. 35.HCF of 150 and 325 =
  36. 36.HCF of 27 and 126 =
  37. 37.HCF of 325 and 75 =
  38. 38.HCF of 66 and 154 =
  39. 39.HCF of 171 and 135 =
  40. 40.HCF of 84 and 63 =

Answer key

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

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