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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 492 · 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 320 and 60 =
  2. 2.HCF of 140 and 30 =
  3. 3.HCF of 104 and 195 =
  4. 4.HCF of 105 and 119 =
  5. 5.HCF of 255 and 45 =
  6. 6.HCF of 57 and 38 =
  7. 7.HCF of 30 and 4 =
  8. 8.HCF of 30 and 28 =
  9. 9.HCF of 182 and 221 =
  10. 10.HCF of 38 and 10 =
  11. 11.HCF of 51 and 30 =
  12. 12.HCF of 96 and 84 =
  13. 13.HCF of 110 and 200 =
  14. 14.HCF of 32 and 240 =
  15. 15.HCF of 30 and 24 =
  16. 16.HCF of 42 and 120 =
  17. 17.HCF of 56 and 238 =
  18. 18.HCF of 110 and 70 =
  19. 19.HCF of 52 and 20 =
  20. 20.HCF of 45 and 95 =
  21. 21.HCF of 49 and 35 =
  22. 22.HCF of 312 and 336 =
  23. 23.HCF of 240 and 168 =
  24. 24.HCF of 24 and 64 =
  25. 25.HCF of 16 and 36 =
  26. 26.HCF of 76 and 57 =
  27. 27.HCF of 36 and 120 =
  28. 28.HCF of 169 and 52 =
  29. 29.HCF of 168 and 72 =
  30. 30.HCF of 56 and 40 =
  31. 31.HCF of 238 and 196 =
  32. 32.HCF of 171 and 126 =
  33. 33.HCF of 6 and 57 =
  34. 34.HCF of 48 and 408 =
  35. 35.HCF of 60 and 260 =
  36. 36.HCF of 125 and 50 =
  37. 37.HCF of 380 and 180 =
  38. 38.HCF of 247 and 304 =
  39. 39.HCF of 85 and 30 =
  40. 40.HCF of 342 and 180 =

Answer key

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

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