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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 322 · 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 30 and 38 =
  2. 2.HCF of 56 and 16 =
  3. 3.HCF of 153 and 54 =
  4. 4.HCF of 55 and 15 =
  5. 5.HCF of 24 and 104 =
  6. 6.HCF of 288 and 198 =
  7. 7.HCF of 33 and 36 =
  8. 8.HCF of 57 and 48 =
  9. 9.HCF of 88 and 286 =
  10. 10.HCF of 260 and 117 =
  11. 11.HCF of 110 and 132 =
  12. 12.HCF of 15 and 35 =
  13. 13.HCF of 121 and 44 =
  14. 14.HCF of 252 and 182 =
  15. 15.HCF of 60 and 36 =
  16. 16.HCF of 125 and 475 =
  17. 17.HCF of 350 and 375 =
  18. 18.HCF of 275 and 200 =
  19. 19.HCF of 85 and 20 =
  20. 20.HCF of 45 and 255 =
  21. 21.HCF of 154 and 66 =
  22. 22.HCF of 133 and 77 =
  23. 23.HCF of 165 and 209 =
  24. 24.HCF of 357 and 315 =
  25. 25.HCF of 180 and 84 =
  26. 26.HCF of 68 and 16 =
  27. 27.HCF of 143 and 198 =
  28. 28.HCF of 60 and 66 =
  29. 29.HCF of 100 and 225 =
  30. 30.HCF of 78 and 36 =
  31. 31.HCF of 12 and 20 =
  32. 32.HCF of 16 and 30 =
  33. 33.HCF of 340 and 220 =
  34. 34.HCF of 220 and 200 =
  35. 35.HCF of 44 and 20 =
  36. 36.HCF of 112 and 182 =
  37. 37.HCF of 420 and 189 =
  38. 38.HCF of 60 and 96 =
  39. 39.HCF of 49 and 35 =
  40. 40.HCF of 35 and 91 =

Answer key

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

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