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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 211 · 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 399 and 189 =
  2. 2.HCF of 22 and 6 =
  3. 3.HCF of 63 and 18 =
  4. 4.HCF of 104 and 65 =
  5. 5.HCF of 80 and 180 =
  6. 6.HCF of 15 and 54 =
  7. 7.HCF of 33 and 121 =
  8. 8.HCF of 357 and 336 =
  9. 9.HCF of 285 and 150 =
  10. 10.HCF of 21 and 54 =
  11. 11.HCF of 391 and 115 =
  12. 12.HCF of 425 and 500 =
  13. 13.HCF of 325 and 225 =
  14. 14.HCF of 69 and 230 =
  15. 15.HCF of 38 and 28 =
  16. 16.HCF of 176 and 32 =
  17. 17.HCF of 176 and 304 =
  18. 18.HCF of 51 and 30 =
  19. 19.HCF of 105 and 42 =
  20. 20.HCF of 48 and 176 =
  21. 21.HCF of 42 and 54 =
  22. 22.HCF of 133 and 28 =
  23. 23.HCF of 45 and 72 =
  24. 24.HCF of 12 and 44 =
  25. 25.HCF of 195 and 105 =
  26. 26.HCF of 15 and 18 =
  27. 27.HCF of 437 and 69 =
  28. 28.HCF of 342 and 36 =
  29. 29.HCF of 135 and 210 =
  30. 30.HCF of 408 and 360 =
  31. 31.HCF of 56 and 40 =
  32. 32.HCF of 55 and 143 =
  33. 33.HCF of 40 and 48 =
  34. 34.HCF of 165 and 285 =
  35. 35.HCF of 198 and 110 =
  36. 36.HCF of 80 and 35 =
  37. 37.HCF of 238 and 56 =
  38. 38.HCF of 253 and 46 =
  39. 39.HCF of 286 and 66 =
  40. 40.HCF of 52 and 36 =

Answer key

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

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