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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 941 · 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 48 and 272 =
  2. 2.HCF of 391 and 368 =
  3. 3.HCF of 70 and 28 =
  4. 4.HCF of 133 and 28 =
  5. 5.HCF of 192 and 304 =
  6. 6.HCF of 8 and 20 =
  7. 7.HCF of 21 and 35 =
  8. 8.HCF of 30 and 70 =
  9. 9.HCF of 55 and 99 =
  10. 10.HCF of 252 and 54 =
  11. 11.HCF of 391 and 184 =
  12. 12.HCF of 24 and 57 =
  13. 13.HCF of 105 and 98 =
  14. 14.HCF of 39 and 260 =
  15. 15.HCF of 12 and 57 =
  16. 16.HCF of 209 and 33 =
  17. 17.HCF of 42 and 57 =
  18. 18.HCF of 247 and 342 =
  19. 19.HCF of 136 and 160 =
  20. 20.HCF of 84 and 96 =
  21. 21.HCF of 408 and 480 =
  22. 22.HCF of 300 and 165 =
  23. 23.HCF of 90 and 25 =
  24. 24.HCF of 42 and 147 =
  25. 25.HCF of 39 and 65 =
  26. 26.HCF of 323 and 152 =
  27. 27.HCF of 437 and 184 =
  28. 28.HCF of 140 and 80 =
  29. 29.HCF of 114 and 36 =
  30. 30.HCF of 81 and 18 =
  31. 31.HCF of 165 and 210 =
  32. 32.HCF of 54 and 144 =
  33. 33.HCF of 30 and 32 =
  34. 34.HCF of 33 and 9 =
  35. 35.HCF of 49 and 133 =
  36. 36.HCF of 4 and 26 =
  37. 37.HCF of 247 and 234 =
  38. 38.HCF of 340 and 289 =
  39. 39.HCF of 48 and 28 =
  40. 40.HCF of 171 and 133 =

Answer key

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

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