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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 66 · 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 171 and 76 =
  2. 2.HCF of 24 and 39 =
  3. 3.HCF of 56 and 98 =
  4. 4.HCF of 96 and 18 =
  5. 5.HCF of 63 and 72 =
  6. 6.HCF of 56 and 16 =
  7. 7.HCF of 221 and 182 =
  8. 8.HCF of 207 and 391 =
  9. 9.HCF of 76 and 209 =
  10. 10.HCF of 198 and 126 =
  11. 11.HCF of 156 and 132 =
  12. 12.HCF of 144 and 117 =
  13. 13.HCF of 6 and 40 =
  14. 14.HCF of 171 and 304 =
  15. 15.HCF of 99 and 45 =
  16. 16.HCF of 36 and 40 =
  17. 17.HCF of 56 and 24 =
  18. 18.HCF of 21 and 27 =
  19. 19.HCF of 50 and 170 =
  20. 20.HCF of 21 and 33 =
  21. 21.HCF of 96 and 176 =
  22. 22.HCF of 264 and 480 =
  23. 23.HCF of 144 and 204 =
  24. 24.HCF of 80 and 208 =
  25. 25.HCF of 42 and 280 =
  26. 26.HCF of 26 and 4 =
  27. 27.HCF of 22 and 34 =
  28. 28.HCF of 63 and 27 =
  29. 29.HCF of 34 and 323 =
  30. 30.HCF of 70 and 56 =
  31. 31.HCF of 66 and 108 =
  32. 32.HCF of 342 and 133 =
  33. 33.HCF of 108 and 90 =
  34. 34.HCF of 40 and 35 =
  35. 35.HCF of 66 and 18 =
  36. 36.HCF of 35 and 50 =
  37. 37.HCF of 66 and 440 =
  38. 38.HCF of 4 and 10 =
  39. 39.HCF of 66 and 176 =
  40. 40.HCF of 102 and 66 =

Answer key

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

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