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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 505 · 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 78 and 24 =
  2. 2.HCF of 120 and 66 =
  3. 3.HCF of 133 and 171 =
  4. 4.HCF of 39 and 33 =
  5. 5.HCF of 64 and 52 =
  6. 6.HCF of 80 and 170 =
  7. 7.HCF of 69 and 460 =
  8. 8.HCF of 104 and 143 =
  9. 9.HCF of 68 and 8 =
  10. 10.HCF of 42 and 9 =
  11. 11.HCF of 44 and 55 =
  12. 12.HCF of 18 and 28 =
  13. 13.HCF of 190 and 247 =
  14. 14.HCF of 247 and 209 =
  15. 15.HCF of 220 and 200 =
  16. 16.HCF of 432 and 408 =
  17. 17.HCF of 119 and 42 =
  18. 18.HCF of 4 and 38 =
  19. 19.HCF of 51 and 238 =
  20. 20.HCF of 18 and 48 =
  21. 21.HCF of 70 and 77 =
  22. 22.HCF of 84 and 60 =
  23. 23.HCF of 168 and 315 =
  24. 24.HCF of 147 and 231 =
  25. 25.HCF of 14 and 20 =
  26. 26.HCF of 30 and 70 =
  27. 27.HCF of 144 and 171 =
  28. 28.HCF of 162 and 90 =
  29. 29.HCF of 49 and 14 =
  30. 30.HCF of 22 and 16 =
  31. 31.HCF of 72 and 384 =
  32. 32.HCF of 36 and 16 =
  33. 33.HCF of 68 and 52 =
  34. 34.HCF of 70 and 90 =
  35. 35.HCF of 216 and 192 =
  36. 36.HCF of 24 and 54 =
  37. 37.HCF of 91 and 133 =
  38. 38.HCF of 84 and 90 =
  39. 39.HCF of 198 and 110 =
  40. 40.HCF of 60 and 110 =

Answer key

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

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