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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 48 · 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 75 and 10 =
  2. 2.HCF of 16 and 6 =
  3. 3.HCF of 374 and 308 =
  4. 4.HCF of 117 and 18 =
  5. 5.HCF of 357 and 168 =
  6. 6.HCF of 36 and 52 =
  7. 7.HCF of 52 and 20 =
  8. 8.HCF of 342 and 108 =
  9. 9.HCF of 126 and 324 =
  10. 10.HCF of 162 and 126 =
  11. 11.HCF of 16 and 40 =
  12. 12.HCF of 30 and 65 =
  13. 13.HCF of 60 and 54 =
  14. 14.HCF of 240 and 132 =
  15. 15.HCF of 55 and 88 =
  16. 16.HCF of 36 and 20 =
  17. 17.HCF of 24 and 26 =
  18. 18.HCF of 204 and 132 =
  19. 19.HCF of 64 and 144 =
  20. 20.HCF of 126 and 117 =
  21. 21.HCF of 69 and 230 =
  22. 22.HCF of 84 and 266 =
  23. 23.HCF of 85 and 68 =
  24. 24.HCF of 56 and 35 =
  25. 25.HCF of 90 and 216 =
  26. 26.HCF of 68 and 40 =
  27. 27.HCF of 56 and 32 =
  28. 28.HCF of 20 and 25 =
  29. 29.HCF of 12 and 57 =
  30. 30.HCF of 57 and 60 =
  31. 31.HCF of 30 and 8 =
  32. 32.HCF of 70 and 30 =
  33. 33.HCF of 66 and 114 =
  34. 34.HCF of 48 and 68 =
  35. 35.HCF of 18 and 78 =
  36. 36.HCF of 76 and 361 =
  37. 37.HCF of 345 and 92 =
  38. 38.HCF of 231 and 399 =
  39. 39.HCF of 69 and 115 =
  40. 40.HCF of 21 and 36 =

Answer key

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

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