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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 169 · 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 280 =
  2. 2.HCF of 56 and 44 =
  3. 3.HCF of 184 and 299 =
  4. 4.HCF of 12 and 9 =
  5. 5.HCF of 168 and 48 =
  6. 6.HCF of 187 and 165 =
  7. 7.HCF of 100 and 75 =
  8. 8.HCF of 98 and 266 =
  9. 9.HCF of 42 and 238 =
  10. 10.HCF of 275 and 50 =
  11. 11.HCF of 100 and 90 =
  12. 12.HCF of 289 and 119 =
  13. 13.HCF of 16 and 26 =
  14. 14.HCF of 30 and 14 =
  15. 15.HCF of 25 and 80 =
  16. 16.HCF of 18 and 66 =
  17. 17.HCF of 154 and 70 =
  18. 18.HCF of 45 and 300 =
  19. 19.HCF of 18 and 42 =
  20. 20.HCF of 266 and 182 =
  21. 21.HCF of 182 and 65 =
  22. 22.HCF of 220 and 340 =
  23. 23.HCF of 147 and 63 =
  24. 24.HCF of 133 and 77 =
  25. 25.HCF of 72 and 20 =
  26. 26.HCF of 18 and 22 =
  27. 27.HCF of 165 and 210 =
  28. 28.HCF of 52 and 8 =
  29. 29.HCF of 154 and 143 =
  30. 30.HCF of 117 and 72 =
  31. 31.HCF of 220 and 33 =
  32. 32.HCF of 209 and 154 =
  33. 33.HCF of 42 and 90 =
  34. 34.HCF of 209 and 121 =
  35. 35.HCF of 189 and 105 =
  36. 36.HCF of 255 and 119 =
  37. 37.HCF of 286 and 110 =
  38. 38.HCF of 154 and 196 =
  39. 39.HCF of 374 and 154 =
  40. 40.HCF of 96 and 360 =

Answer key

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

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