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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 580 · 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 91 and 195 =
  2. 2.HCF of 264 and 384 =
  3. 3.HCF of 70 and 20 =
  4. 4.HCF of 96 and 168 =
  5. 5.HCF of 168 and 312 =
  6. 6.HCF of 260 and 39 =
  7. 7.HCF of 130 and 200 =
  8. 8.HCF of 187 and 272 =
  9. 9.HCF of 45 and 35 =
  10. 10.HCF of 42 and 112 =
  11. 11.HCF of 180 and 168 =
  12. 12.HCF of 76 and 36 =
  13. 13.HCF of 22 and 24 =
  14. 14.HCF of 14 and 119 =
  15. 15.HCF of 180 and 195 =
  16. 16.HCF of 10 and 4 =
  17. 17.HCF of 32 and 304 =
  18. 18.HCF of 162 and 63 =
  19. 19.HCF of 42 and 24 =
  20. 20.HCF of 154 and 168 =
  21. 21.HCF of 48 and 78 =
  22. 22.HCF of 182 and 247 =
  23. 23.HCF of 117 and 171 =
  24. 24.HCF of 120 and 50 =
  25. 25.HCF of 91 and 112 =
  26. 26.HCF of 225 and 125 =
  27. 27.HCF of 81 and 63 =
  28. 28.HCF of 84 and 72 =
  29. 29.HCF of 105 and 180 =
  30. 30.HCF of 240 and 380 =
  31. 31.HCF of 35 and 15 =
  32. 32.HCF of 207 and 46 =
  33. 33.HCF of 39 and 27 =
  34. 34.HCF of 14 and 34 =
  35. 35.HCF of 91 and 70 =
  36. 36.HCF of 48 and 30 =
  37. 37.HCF of 50 and 95 =
  38. 38.HCF of 48 and 20 =
  39. 39.HCF of 238 and 153 =
  40. 40.HCF of 272 and 320 =

Answer key

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

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