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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 787 · 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 204 and 120 =
  2. 2.HCF of 28 and 12 =
  3. 3.HCF of 12 and 68 =
  4. 4.HCF of 200 and 130 =
  5. 5.HCF of 154 and 110 =
  6. 6.HCF of 121 and 99 =
  7. 7.HCF of 24 and 84 =
  8. 8.HCF of 200 and 130 =
  9. 9.HCF of 66 and 60 =
  10. 10.HCF of 210 and 195 =
  11. 11.HCF of 60 and 140 =
  12. 12.HCF of 42 and 140 =
  13. 13.HCF of 247 and 190 =
  14. 14.HCF of 49 and 63 =
  15. 15.HCF of 57 and 323 =
  16. 16.HCF of 286 and 396 =
  17. 17.HCF of 81 and 153 =
  18. 18.HCF of 220 and 209 =
  19. 19.HCF of 14 and 133 =
  20. 20.HCF of 114 and 66 =
  21. 21.HCF of 68 and 48 =
  22. 22.HCF of 69 and 161 =
  23. 23.HCF of 28 and 60 =
  24. 24.HCF of 39 and 65 =
  25. 25.HCF of 64 and 40 =
  26. 26.HCF of 117 and 135 =
  27. 27.HCF of 204 and 192 =
  28. 28.HCF of 234 and 144 =
  29. 29.HCF of 24 and 57 =
  30. 30.HCF of 22 and 14 =
  31. 31.HCF of 234 and 143 =
  32. 32.HCF of 95 and 152 =
  33. 33.HCF of 102 and 48 =
  34. 34.HCF of 275 and 125 =
  35. 35.HCF of 196 and 42 =
  36. 36.HCF of 100 and 160 =
  37. 37.HCF of 126 and 72 =
  38. 38.HCF of 69 and 184 =
  39. 39.HCF of 220 and 374 =
  40. 40.HCF of 44 and 28 =

Answer key

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

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