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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 264 · 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 110 and 44 =
  2. 2.HCF of 315 and 273 =
  3. 3.HCF of 143 and 99 =
  4. 4.HCF of 48 and 104 =
  5. 5.HCF of 209 and 76 =
  6. 6.HCF of 195 and 60 =
  7. 7.HCF of 391 and 345 =
  8. 8.HCF of 126 and 360 =
  9. 9.HCF of 105 and 285 =
  10. 10.HCF of 70 and 112 =
  11. 11.HCF of 20 and 35 =
  12. 12.HCF of 12 and 10 =
  13. 13.HCF of 209 and 110 =
  14. 14.HCF of 14 and 35 =
  15. 15.HCF of 24 and 16 =
  16. 16.HCF of 52 and 39 =
  17. 17.HCF of 220 and 209 =
  18. 18.HCF of 272 and 255 =
  19. 19.HCF of 91 and 130 =
  20. 20.HCF of 40 and 15 =
  21. 21.HCF of 22 and 14 =
  22. 22.HCF of 126 and 28 =
  23. 23.HCF of 56 and 105 =
  24. 24.HCF of 96 and 136 =
  25. 25.HCF of 38 and 24 =
  26. 26.HCF of 300 and 280 =
  27. 27.HCF of 80 and 28 =
  28. 28.HCF of 30 and 48 =
  29. 29.HCF of 65 and 26 =
  30. 30.HCF of 140 and 400 =
  31. 31.HCF of 48 and 40 =
  32. 32.HCF of 68 and 8 =
  33. 33.HCF of 28 and 16 =
  34. 34.HCF of 35 and 119 =
  35. 35.HCF of 21 and 98 =
  36. 36.HCF of 105 and 90 =
  37. 37.HCF of 414 and 391 =
  38. 38.HCF of 480 and 216 =
  39. 39.HCF of 38 and 12 =
  40. 40.HCF of 294 and 105 =

Answer key

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

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