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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 517 · 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 375 and 325 =
  2. 2.HCF of 44 and 121 =
  3. 3.HCF of 280 and 300 =
  4. 4.HCF of 96 and 56 =
  5. 5.HCF of 120 and 54 =
  6. 6.HCF of 28 and 105 =
  7. 7.HCF of 300 and 340 =
  8. 8.HCF of 289 and 119 =
  9. 9.HCF of 110 and 286 =
  10. 10.HCF of 189 and 168 =
  11. 11.HCF of 120 and 36 =
  12. 12.HCF of 6 and 57 =
  13. 13.HCF of 105 and 273 =
  14. 14.HCF of 117 and 221 =
  15. 15.HCF of 200 and 170 =
  16. 16.HCF of 275 and 375 =
  17. 17.HCF of 60 and 52 =
  18. 18.HCF of 352 and 110 =
  19. 19.HCF of 70 and 252 =
  20. 20.HCF of 35 and 42 =
  21. 21.HCF of 96 and 304 =
  22. 22.HCF of 77 and 49 =
  23. 23.HCF of 336 and 408 =
  24. 24.HCF of 30 and 54 =
  25. 25.HCF of 136 and 323 =
  26. 26.HCF of 175 and 250 =
  27. 27.HCF of 255 and 240 =
  28. 28.HCF of 48 and 360 =
  29. 29.HCF of 153 and 72 =
  30. 30.HCF of 8 and 34 =
  31. 31.HCF of 135 and 120 =
  32. 32.HCF of 323 and 289 =
  33. 33.HCF of 45 and 300 =
  34. 34.HCF of 171 and 36 =
  35. 35.HCF of 34 and 24 =
  36. 36.HCF of 253 and 230 =
  37. 37.HCF of 100 and 275 =
  38. 38.HCF of 68 and 44 =
  39. 39.HCF of 39 and 45 =
  40. 40.HCF of 72 and 76 =

Answer key

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

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