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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 668 · 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 240 and 264 =
  2. 2.HCF of 56 and 52 =
  3. 3.HCF of 125 and 425 =
  4. 4.HCF of 204 and 168 =
  5. 5.HCF of 48 and 152 =
  6. 6.HCF of 253 and 184 =
  7. 7.HCF of 75 and 500 =
  8. 8.HCF of 119 and 14 =
  9. 9.HCF of 68 and 187 =
  10. 10.HCF of 91 and 65 =
  11. 11.HCF of 190 and 70 =
  12. 12.HCF of 360 and 260 =
  13. 13.HCF of 54 and 342 =
  14. 14.HCF of 312 and 384 =
  15. 15.HCF of 288 and 80 =
  16. 16.HCF of 75 and 40 =
  17. 17.HCF of 323 and 102 =
  18. 18.HCF of 42 and 57 =
  19. 19.HCF of 24 and 54 =
  20. 20.HCF of 80 and 288 =
  21. 21.HCF of 8 and 76 =
  22. 22.HCF of 20 and 70 =
  23. 23.HCF of 20 and 85 =
  24. 24.HCF of 18 and 21 =
  25. 25.HCF of 42 and 114 =
  26. 26.HCF of 12 and 57 =
  27. 27.HCF of 380 and 340 =
  28. 28.HCF of 60 and 200 =
  29. 29.HCF of 40 and 60 =
  30. 30.HCF of 171 and 36 =
  31. 31.HCF of 175 and 50 =
  32. 32.HCF of 72 and 112 =
  33. 33.HCF of 275 and 150 =
  34. 34.HCF of 35 and 15 =
  35. 35.HCF of 126 and 171 =
  36. 36.HCF of 42 and 140 =
  37. 37.HCF of 150 and 285 =
  38. 38.HCF of 133 and 35 =
  39. 39.HCF of 323 and 187 =
  40. 40.HCF of 65 and 50 =

Answer key

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

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