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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 466 · 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 70 and 200 =
  2. 2.HCF of 100 and 180 =
  3. 3.HCF of 120 and 228 =
  4. 4.HCF of 88 and 104 =
  5. 5.HCF of 84 and 91 =
  6. 6.HCF of 266 and 209 =
  7. 7.HCF of 400 and 275 =
  8. 8.HCF of 342 and 133 =
  9. 9.HCF of 48 and 176 =
  10. 10.HCF of 119 and 84 =
  11. 11.HCF of 126 and 98 =
  12. 12.HCF of 112 and 77 =
  13. 13.HCF of 153 and 27 =
  14. 14.HCF of 44 and 121 =
  15. 15.HCF of 22 and 36 =
  16. 16.HCF of 256 and 48 =
  17. 17.HCF of 36 and 171 =
  18. 18.HCF of 110 and 286 =
  19. 19.HCF of 20 and 75 =
  20. 20.HCF of 216 and 240 =
  21. 21.HCF of 27 and 18 =
  22. 22.HCF of 162 and 45 =
  23. 23.HCF of 240 and 135 =
  24. 24.HCF of 30 and 14 =
  25. 25.HCF of 266 and 112 =
  26. 26.HCF of 136 and 32 =
  27. 27.HCF of 187 and 102 =
  28. 28.HCF of 120 and 132 =
  29. 29.HCF of 6 and 51 =
  30. 30.HCF of 14 and 36 =
  31. 31.HCF of 55 and 15 =
  32. 32.HCF of 100 and 340 =
  33. 33.HCF of 360 and 312 =
  34. 34.HCF of 28 and 38 =
  35. 35.HCF of 288 and 54 =
  36. 36.HCF of 72 and 204 =
  37. 37.HCF of 440 and 418 =
  38. 38.HCF of 285 and 209 =
  39. 39.HCF of 40 and 60 =
  40. 40.HCF of 30 and 18 =

Answer key

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

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