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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 646 · 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 45 and 162 =
  2. 2.HCF of 65 and 39 =
  3. 3.HCF of 480 and 216 =
  4. 4.HCF of 221 and 323 =
  5. 5.HCF of 45 and 10 =
  6. 6.HCF of 184 and 345 =
  7. 7.HCF of 195 and 285 =
  8. 8.HCF of 85 and 65 =
  9. 9.HCF of 35 and 30 =
  10. 10.HCF of 8 and 18 =
  11. 11.HCF of 90 and 66 =
  12. 12.HCF of 28 and 26 =
  13. 13.HCF of 36 and 156 =
  14. 14.HCF of 14 and 6 =
  15. 15.HCF of 24 and 204 =
  16. 16.HCF of 28 and 35 =
  17. 17.HCF of 198 and 126 =
  18. 18.HCF of 169 and 104 =
  19. 19.HCF of 51 and 221 =
  20. 20.HCF of 105 and 30 =
  21. 21.HCF of 78 and 65 =
  22. 22.HCF of 168 and 189 =
  23. 23.HCF of 304 and 96 =
  24. 24.HCF of 51 and 289 =
  25. 25.HCF of 22 and 6 =
  26. 26.HCF of 345 and 299 =
  27. 27.HCF of 12 and 15 =
  28. 28.HCF of 169 and 208 =
  29. 29.HCF of 12 and 44 =
  30. 30.HCF of 48 and 42 =
  31. 31.HCF of 30 and 54 =
  32. 32.HCF of 50 and 190 =
  33. 33.HCF of 51 and 42 =
  34. 34.HCF of 345 and 368 =
  35. 35.HCF of 66 and 42 =
  36. 36.HCF of 304 and 247 =
  37. 37.HCF of 70 and 56 =
  38. 38.HCF of 361 and 57 =
  39. 39.HCF of 21 and 70 =
  40. 40.HCF of 80 and 152 =

Answer key

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

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