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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 519 · 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 112 and 63 =
  2. 2.HCF of 190 and 247 =
  3. 3.HCF of 48 and 120 =
  4. 4.HCF of 55 and 143 =
  5. 5.HCF of 22 and 24 =
  6. 6.HCF of 325 and 500 =
  7. 7.HCF of 112 and 21 =
  8. 8.HCF of 357 and 63 =
  9. 9.HCF of 75 and 20 =
  10. 10.HCF of 195 and 270 =
  11. 11.HCF of 48 and 180 =
  12. 12.HCF of 272 and 256 =
  13. 13.HCF of 56 and 80 =
  14. 14.HCF of 299 and 276 =
  15. 15.HCF of 15 and 27 =
  16. 16.HCF of 39 and 54 =
  17. 17.HCF of 46 and 161 =
  18. 18.HCF of 42 and 57 =
  19. 19.HCF of 40 and 130 =
  20. 20.HCF of 289 and 323 =
  21. 21.HCF of 68 and 51 =
  22. 22.HCF of 96 and 272 =
  23. 23.HCF of 60 and 340 =
  24. 24.HCF of 475 and 450 =
  25. 25.HCF of 135 and 144 =
  26. 26.HCF of 98 and 56 =
  27. 27.HCF of 100 and 110 =
  28. 28.HCF of 280 and 340 =
  29. 29.HCF of 273 and 189 =
  30. 30.HCF of 8 and 6 =
  31. 31.HCF of 180 and 195 =
  32. 32.HCF of 266 and 209 =
  33. 33.HCF of 209 and 187 =
  34. 34.HCF of 352 and 154 =
  35. 35.HCF of 77 and 126 =
  36. 36.HCF of 48 and 160 =
  37. 37.HCF of 323 and 342 =
  38. 38.HCF of 289 and 68 =
  39. 39.HCF of 184 and 391 =
  40. 40.HCF of 238 and 28 =

Answer key

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

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