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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 34 · 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 100 =
  2. 2.HCF of 78 and 54 =
  3. 3.HCF of 72 and 264 =
  4. 4.HCF of 49 and 91 =
  5. 5.HCF of 210 and 154 =
  6. 6.HCF of 34 and 28 =
  7. 7.HCF of 48 and 18 =
  8. 8.HCF of 304 and 80 =
  9. 9.HCF of 42 and 24 =
  10. 10.HCF of 54 and 171 =
  11. 11.HCF of 18 and 117 =
  12. 12.HCF of 168 and 98 =
  13. 13.HCF of 65 and 30 =
  14. 14.HCF of 180 and 27 =
  15. 15.HCF of 208 and 160 =
  16. 16.HCF of 45 and 100 =
  17. 17.HCF of 437 and 345 =
  18. 18.HCF of 14 and 77 =
  19. 19.HCF of 16 and 22 =
  20. 20.HCF of 324 and 342 =
  21. 21.HCF of 28 and 30 =
  22. 22.HCF of 220 and 33 =
  23. 23.HCF of 21 and 98 =
  24. 24.HCF of 26 and 6 =
  25. 25.HCF of 357 and 126 =
  26. 26.HCF of 38 and 323 =
  27. 27.HCF of 175 and 150 =
  28. 28.HCF of 27 and 60 =
  29. 29.HCF of 299 and 46 =
  30. 30.HCF of 437 and 299 =
  31. 31.HCF of 12 and 28 =
  32. 32.HCF of 198 and 77 =
  33. 33.HCF of 255 and 180 =
  34. 34.HCF of 306 and 126 =
  35. 35.HCF of 126 and 135 =
  36. 36.HCF of 247 and 76 =
  37. 37.HCF of 380 and 160 =
  38. 38.HCF of 63 and 54 =
  39. 39.HCF of 200 and 140 =
  40. 40.HCF of 400 and 475 =

Answer key

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

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