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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 535 · 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 27 and 99 =
  2. 2.HCF of 36 and 32 =
  3. 3.HCF of 48 and 32 =
  4. 4.HCF of 56 and 210 =
  5. 5.HCF of 84 and 98 =
  6. 6.HCF of 192 and 264 =
  7. 7.HCF of 80 and 260 =
  8. 8.HCF of 336 and 264 =
  9. 9.HCF of 12 and 42 =
  10. 10.HCF of 200 and 340 =
  11. 11.HCF of 57 and 133 =
  12. 12.HCF of 66 and 60 =
  13. 13.HCF of 28 and 16 =
  14. 14.HCF of 195 and 90 =
  15. 15.HCF of 322 and 253 =
  16. 16.HCF of 209 and 247 =
  17. 17.HCF of 48 and 42 =
  18. 18.HCF of 12 and 40 =
  19. 19.HCF of 12 and 15 =
  20. 20.HCF of 78 and 60 =
  21. 21.HCF of 9 and 42 =
  22. 22.HCF of 60 and 9 =
  23. 23.HCF of 26 and 16 =
  24. 24.HCF of 102 and 66 =
  25. 25.HCF of 10 and 14 =
  26. 26.HCF of 91 and 126 =
  27. 27.HCF of 260 and 169 =
  28. 28.HCF of 216 and 228 =
  29. 29.HCF of 96 and 114 =
  30. 30.HCF of 165 and 285 =
  31. 31.HCF of 48 and 9 =
  32. 32.HCF of 225 and 125 =
  33. 33.HCF of 84 and 189 =
  34. 34.HCF of 55 and 77 =
  35. 35.HCF of 361 and 133 =
  36. 36.HCF of 132 and 60 =
  37. 37.HCF of 165 and 240 =
  38. 38.HCF of 88 and 96 =
  39. 39.HCF of 108 and 234 =
  40. 40.HCF of 117 and 72 =

Answer key

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

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