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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 626 · 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 60 and 80 =
  2. 2.HCF of 192 and 120 =
  3. 3.HCF of 69 and 230 =
  4. 4.HCF of 63 and 27 =
  5. 5.HCF of 323 and 57 =
  6. 6.HCF of 119 and 133 =
  7. 7.HCF of 44 and 286 =
  8. 8.HCF of 26 and 91 =
  9. 9.HCF of 105 and 336 =
  10. 10.HCF of 66 and 54 =
  11. 11.HCF of 84 and 72 =
  12. 12.HCF of 48 and 9 =
  13. 13.HCF of 60 and 70 =
  14. 14.HCF of 10 and 12 =
  15. 15.HCF of 152 and 171 =
  16. 16.HCF of 14 and 105 =
  17. 17.HCF of 34 and 119 =
  18. 18.HCF of 48 and 60 =
  19. 19.HCF of 132 and 108 =
  20. 20.HCF of 57 and 95 =
  21. 21.HCF of 72 and 20 =
  22. 22.HCF of 169 and 39 =
  23. 23.HCF of 475 and 150 =
  24. 24.HCF of 39 and 33 =
  25. 25.HCF of 20 and 48 =
  26. 26.HCF of 25 and 35 =
  27. 27.HCF of 221 and 39 =
  28. 28.HCF of 180 and 153 =
  29. 29.HCF of 24 and 76 =
  30. 30.HCF of 133 and 190 =
  31. 31.HCF of 408 and 48 =
  32. 32.HCF of 456 and 72 =
  33. 33.HCF of 224 and 48 =
  34. 34.HCF of 85 and 187 =
  35. 35.HCF of 95 and 10 =
  36. 36.HCF of 60 and 105 =
  37. 37.HCF of 56 and 77 =
  38. 38.HCF of 85 and 40 =
  39. 39.HCF of 147 and 63 =
  40. 40.HCF of 128 and 304 =

Answer key

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

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