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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 724 · 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 153 and 90 =
  2. 2.HCF of 75 and 250 =
  3. 3.HCF of 125 and 225 =
  4. 4.HCF of 204 and 187 =
  5. 5.HCF of 220 and 80 =
  6. 6.HCF of 133 and 95 =
  7. 7.HCF of 320 and 260 =
  8. 8.HCF of 361 and 190 =
  9. 9.HCF of 84 and 48 =
  10. 10.HCF of 105 and 180 =
  11. 11.HCF of 350 and 425 =
  12. 12.HCF of 80 and 52 =
  13. 13.HCF of 153 and 54 =
  14. 14.HCF of 125 and 425 =
  15. 15.HCF of 21 and 56 =
  16. 16.HCF of 408 and 360 =
  17. 17.HCF of 171 and 95 =
  18. 18.HCF of 72 and 104 =
  19. 19.HCF of 285 and 270 =
  20. 20.HCF of 45 and 255 =
  21. 21.HCF of 95 and 10 =
  22. 22.HCF of 187 and 44 =
  23. 23.HCF of 95 and 25 =
  24. 24.HCF of 55 and 198 =
  25. 25.HCF of 156 and 144 =
  26. 26.HCF of 336 and 399 =
  27. 27.HCF of 46 and 437 =
  28. 28.HCF of 25 and 15 =
  29. 29.HCF of 24 and 38 =
  30. 30.HCF of 16 and 12 =
  31. 31.HCF of 306 and 180 =
  32. 32.HCF of 380 and 120 =
  33. 33.HCF of 144 and 27 =
  34. 34.HCF of 320 and 140 =
  35. 35.HCF of 225 and 240 =
  36. 36.HCF of 204 and 60 =
  37. 37.HCF of 399 and 357 =
  38. 38.HCF of 345 and 322 =
  39. 39.HCF of 204 and 168 =
  40. 40.HCF of 247 and 152 =

Answer key

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

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