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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 279 · 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 198 and 126 =
  2. 2.HCF of 20 and 44 =
  3. 3.HCF of 40 and 15 =
  4. 4.HCF of 60 and 21 =
  5. 5.HCF of 28 and 60 =
  6. 6.HCF of 35 and 112 =
  7. 7.HCF of 70 and 30 =
  8. 8.HCF of 168 and 432 =
  9. 9.HCF of 225 and 285 =
  10. 10.HCF of 36 and 117 =
  11. 11.HCF of 51 and 187 =
  12. 12.HCF of 12 and 56 =
  13. 13.HCF of 12 and 114 =
  14. 14.HCF of 80 and 88 =
  15. 15.HCF of 36 and 10 =
  16. 16.HCF of 162 and 72 =
  17. 17.HCF of 340 and 220 =
  18. 18.HCF of 110 and 170 =
  19. 19.HCF of 425 and 125 =
  20. 20.HCF of 14 and 133 =
  21. 21.HCF of 285 and 152 =
  22. 22.HCF of 195 and 182 =
  23. 23.HCF of 135 and 30 =
  24. 24.HCF of 9 and 30 =
  25. 25.HCF of 18 and 26 =
  26. 26.HCF of 24 and 78 =
  27. 27.HCF of 156 and 91 =
  28. 28.HCF of 26 and 169 =
  29. 29.HCF of 273 and 84 =
  30. 30.HCF of 50 and 20 =
  31. 31.HCF of 300 and 325 =
  32. 32.HCF of 225 and 195 =
  33. 33.HCF of 22 and 38 =
  34. 34.HCF of 45 and 171 =
  35. 35.HCF of 152 and 32 =
  36. 36.HCF of 198 and 162 =
  37. 37.HCF of 15 and 9 =
  38. 38.HCF of 171 and 76 =
  39. 39.HCF of 117 and 260 =
  40. 40.HCF of 24 and 36 =

Answer key

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

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