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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 288 · 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 340 and 200 =
  2. 2.HCF of 114 and 108 =
  3. 3.HCF of 140 and 266 =
  4. 4.HCF of 198 and 418 =
  5. 5.HCF of 165 and 143 =
  6. 6.HCF of 95 and 60 =
  7. 7.HCF of 22 and 38 =
  8. 8.HCF of 357 and 189 =
  9. 9.HCF of 22 and 77 =
  10. 10.HCF of 12 and 8 =
  11. 11.HCF of 224 and 42 =
  12. 12.HCF of 15 and 85 =
  13. 13.HCF of 208 and 80 =
  14. 14.HCF of 140 and 110 =
  15. 15.HCF of 32 and 208 =
  16. 16.HCF of 22 and 187 =
  17. 17.HCF of 120 and 225 =
  18. 18.HCF of 209 and 76 =
  19. 19.HCF of 66 and 36 =
  20. 20.HCF of 247 and 95 =
  21. 21.HCF of 108 and 48 =
  22. 22.HCF of 65 and 50 =
  23. 23.HCF of 12 and 102 =
  24. 24.HCF of 34 and 14 =
  25. 25.HCF of 40 and 88 =
  26. 26.HCF of 144 and 64 =
  27. 27.HCF of 288 and 272 =
  28. 28.HCF of 72 and 90 =
  29. 29.HCF of 90 and 24 =
  30. 30.HCF of 228 and 96 =
  31. 31.HCF of 68 and 24 =
  32. 32.HCF of 285 and 225 =
  33. 33.HCF of 21 and 49 =
  34. 34.HCF of 120 and 255 =
  35. 35.HCF of 99 and 81 =
  36. 36.HCF of 176 and 286 =
  37. 37.HCF of 275 and 225 =
  38. 38.HCF of 32 and 176 =
  39. 39.HCF of 175 and 100 =
  40. 40.HCF of 55 and 44 =

Answer key

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

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