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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 273 · 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 42 and 98 =
  2. 2.HCF of 15 and 80 =
  3. 3.HCF of 36 and 14 =
  4. 4.HCF of 228 and 60 =
  5. 5.HCF of 110 and 33 =
  6. 6.HCF of 80 and 85 =
  7. 7.HCF of 135 and 285 =
  8. 8.HCF of 45 and 240 =
  9. 9.HCF of 21 and 15 =
  10. 10.HCF of 48 and 18 =
  11. 11.HCF of 77 and 133 =
  12. 12.HCF of 299 and 161 =
  13. 13.HCF of 9 and 30 =
  14. 14.HCF of 117 and 36 =
  15. 15.HCF of 65 and 45 =
  16. 16.HCF of 21 and 15 =
  17. 17.HCF of 57 and 39 =
  18. 18.HCF of 95 and 10 =
  19. 19.HCF of 325 and 475 =
  20. 20.HCF of 60 and 55 =
  21. 21.HCF of 99 and 22 =
  22. 22.HCF of 100 and 425 =
  23. 23.HCF of 120 and 340 =
  24. 24.HCF of 20 and 45 =
  25. 25.HCF of 63 and 98 =
  26. 26.HCF of 190 and 60 =
  27. 27.HCF of 340 and 323 =
  28. 28.HCF of 20 and 26 =
  29. 29.HCF of 210 and 196 =
  30. 30.HCF of 63 and 14 =
  31. 31.HCF of 176 and 96 =
  32. 32.HCF of 272 and 51 =
  33. 33.HCF of 306 and 360 =
  34. 34.HCF of 10 and 16 =
  35. 35.HCF of 32 and 48 =
  36. 36.HCF of 12 and 54 =
  37. 37.HCF of 180 and 260 =
  38. 38.HCF of 475 and 200 =
  39. 39.HCF of 36 and 21 =
  40. 40.HCF of 270 and 306 =

Answer key

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

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