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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 434 · 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 340 and 323 =
  2. 2.HCF of 51 and 272 =
  3. 3.HCF of 24 and 39 =
  4. 4.HCF of 210 and 231 =
  5. 5.HCF of 270 and 255 =
  6. 6.HCF of 187 and 51 =
  7. 7.HCF of 132 and 156 =
  8. 8.HCF of 36 and 60 =
  9. 9.HCF of 78 and 143 =
  10. 10.HCF of 400 and 340 =
  11. 11.HCF of 180 and 260 =
  12. 12.HCF of 238 and 323 =
  13. 13.HCF of 147 and 126 =
  14. 14.HCF of 35 and 10 =
  15. 15.HCF of 34 and 40 =
  16. 16.HCF of 34 and 51 =
  17. 17.HCF of 231 and 336 =
  18. 18.HCF of 456 and 408 =
  19. 19.HCF of 90 and 84 =
  20. 20.HCF of 340 and 360 =
  21. 21.HCF of 114 and 42 =
  22. 22.HCF of 210 and 147 =
  23. 23.HCF of 32 and 14 =
  24. 24.HCF of 280 and 42 =
  25. 25.HCF of 425 and 350 =
  26. 26.HCF of 110 and 30 =
  27. 27.HCF of 90 and 162 =
  28. 28.HCF of 288 and 342 =
  29. 29.HCF of 10 and 12 =
  30. 30.HCF of 210 and 182 =
  31. 31.HCF of 51 and 68 =
  32. 32.HCF of 140 and 180 =
  33. 33.HCF of 304 and 144 =
  34. 34.HCF of 180 and 48 =
  35. 35.HCF of 95 and 70 =
  36. 36.HCF of 15 and 12 =
  37. 37.HCF of 374 and 330 =
  38. 38.HCF of 425 and 200 =
  39. 39.HCF of 210 and 225 =
  40. 40.HCF of 260 and 80 =

Answer key

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

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