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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 870 · 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 264 and 144 =
  2. 2.HCF of 76 and 40 =
  3. 3.HCF of 196 and 266 =
  4. 4.HCF of 221 and 78 =
  5. 5.HCF of 39 and 12 =
  6. 6.HCF of 253 and 161 =
  7. 7.HCF of 36 and 38 =
  8. 8.HCF of 42 and 30 =
  9. 9.HCF of 28 and 49 =
  10. 10.HCF of 272 and 48 =
  11. 11.HCF of 306 and 342 =
  12. 12.HCF of 133 and 323 =
  13. 13.HCF of 12 and 30 =
  14. 14.HCF of 380 and 100 =
  15. 15.HCF of 133 and 140 =
  16. 16.HCF of 320 and 60 =
  17. 17.HCF of 114 and 36 =
  18. 18.HCF of 42 and 48 =
  19. 19.HCF of 126 and 273 =
  20. 20.HCF of 104 and 24 =
  21. 21.HCF of 96 and 88 =
  22. 22.HCF of 126 and 77 =
  23. 23.HCF of 198 and 110 =
  24. 24.HCF of 224 and 238 =
  25. 25.HCF of 171 and 247 =
  26. 26.HCF of 18 and 38 =
  27. 27.HCF of 22 and 38 =
  28. 28.HCF of 72 and 264 =
  29. 29.HCF of 14 and 4 =
  30. 30.HCF of 68 and 36 =
  31. 31.HCF of 52 and 195 =
  32. 32.HCF of 306 and 126 =
  33. 33.HCF of 15 and 6 =
  34. 34.HCF of 42 and 114 =
  35. 35.HCF of 342 and 198 =
  36. 36.HCF of 48 and 256 =
  37. 37.HCF of 286 and 66 =
  38. 38.HCF of 100 and 125 =
  39. 39.HCF of 114 and 54 =
  40. 40.HCF of 119 and 340 =

Answer key

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

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