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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 767 · 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 384 and 360 =
  2. 2.HCF of 144 and 64 =
  3. 3.HCF of 132 and 240 =
  4. 4.HCF of 240 and 256 =
  5. 5.HCF of 90 and 35 =
  6. 6.HCF of 92 and 69 =
  7. 7.HCF of 100 and 15 =
  8. 8.HCF of 115 and 437 =
  9. 9.HCF of 63 and 54 =
  10. 10.HCF of 45 and 55 =
  11. 11.HCF of 28 and 98 =
  12. 12.HCF of 475 and 325 =
  13. 13.HCF of 121 and 33 =
  14. 14.HCF of 170 and 200 =
  15. 15.HCF of 378 and 273 =
  16. 16.HCF of 195 and 180 =
  17. 17.HCF of 325 and 75 =
  18. 18.HCF of 418 and 330 =
  19. 19.HCF of 96 and 36 =
  20. 20.HCF of 238 and 252 =
  21. 21.HCF of 260 and 320 =
  22. 22.HCF of 60 and 105 =
  23. 23.HCF of 100 and 85 =
  24. 24.HCF of 10 and 25 =
  25. 25.HCF of 168 and 120 =
  26. 26.HCF of 85 and 55 =
  27. 27.HCF of 170 and 160 =
  28. 28.HCF of 24 and 80 =
  29. 29.HCF of 255 and 90 =
  30. 30.HCF of 6 and 33 =
  31. 31.HCF of 325 and 375 =
  32. 32.HCF of 34 and 255 =
  33. 33.HCF of 12 and 45 =
  34. 34.HCF of 90 and 160 =
  35. 35.HCF of 80 and 12 =
  36. 36.HCF of 165 and 255 =
  37. 37.HCF of 119 and 272 =
  38. 38.HCF of 300 and 325 =
  39. 39.HCF of 255 and 119 =
  40. 40.HCF of 360 and 260 =

Answer key

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

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