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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 41 · 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 25 and 15 =
  2. 2.HCF of 14 and 18 =
  3. 3.HCF of 180 and 342 =
  4. 4.HCF of 325 and 150 =
  5. 5.HCF of 360 and 126 =
  6. 6.HCF of 18 and 20 =
  7. 7.HCF of 64 and 36 =
  8. 8.HCF of 45 and 85 =
  9. 9.HCF of 39 and 52 =
  10. 10.HCF of 50 and 375 =
  11. 11.HCF of 80 and 220 =
  12. 12.HCF of 80 and 140 =
  13. 13.HCF of 280 and 126 =
  14. 14.HCF of 315 and 168 =
  15. 15.HCF of 133 and 361 =
  16. 16.HCF of 120 and 228 =
  17. 17.HCF of 63 and 91 =
  18. 18.HCF of 42 and 33 =
  19. 19.HCF of 380 and 120 =
  20. 20.HCF of 60 and 320 =
  21. 21.HCF of 198 and 324 =
  22. 22.HCF of 49 and 28 =
  23. 23.HCF of 147 and 168 =
  24. 24.HCF of 121 and 33 =
  25. 25.HCF of 4 and 6 =
  26. 26.HCF of 176 and 110 =
  27. 27.HCF of 60 and 216 =
  28. 28.HCF of 209 and 342 =
  29. 29.HCF of 425 and 400 =
  30. 30.HCF of 108 and 126 =
  31. 31.HCF of 44 and 20 =
  32. 32.HCF of 360 and 380 =
  33. 33.HCF of 22 and 77 =
  34. 34.HCF of 26 and 8 =
  35. 35.HCF of 80 and 380 =
  36. 36.HCF of 190 and 100 =
  37. 37.HCF of 20 and 64 =
  38. 38.HCF of 380 and 60 =
  39. 39.HCF of 380 and 400 =
  40. 40.HCF of 77 and 55 =

Answer key

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

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