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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 284 · 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 49 and 119 =
  2. 2.HCF of 50 and 60 =
  3. 3.HCF of 56 and 128 =
  4. 4.HCF of 10 and 28 =
  5. 5.HCF of 45 and 80 =
  6. 6.HCF of 104 and 72 =
  7. 7.HCF of 33 and 42 =
  8. 8.HCF of 340 and 40 =
  9. 9.HCF of 15 and 25 =
  10. 10.HCF of 18 and 33 =
  11. 11.HCF of 44 and 286 =
  12. 12.HCF of 35 and 77 =
  13. 13.HCF of 36 and 171 =
  14. 14.HCF of 77 and 105 =
  15. 15.HCF of 90 and 50 =
  16. 16.HCF of 125 and 475 =
  17. 17.HCF of 171 and 153 =
  18. 18.HCF of 12 and 22 =
  19. 19.HCF of 22 and 34 =
  20. 20.HCF of 99 and 110 =
  21. 21.HCF of 112 and 152 =
  22. 22.HCF of 99 and 90 =
  23. 23.HCF of 84 and 273 =
  24. 24.HCF of 24 and 160 =
  25. 25.HCF of 360 and 342 =
  26. 26.HCF of 300 and 220 =
  27. 27.HCF of 304 and 48 =
  28. 28.HCF of 100 and 260 =
  29. 29.HCF of 270 and 105 =
  30. 30.HCF of 135 and 99 =
  31. 31.HCF of 143 and 55 =
  32. 32.HCF of 110 and 44 =
  33. 33.HCF of 16 and 152 =
  34. 34.HCF of 77 and 133 =
  35. 35.HCF of 221 and 119 =
  36. 36.HCF of 63 and 162 =
  37. 37.HCF of 70 and 196 =
  38. 38.HCF of 44 and 8 =
  39. 39.HCF of 55 and 60 =
  40. 40.HCF of 225 and 425 =

Answer key

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

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