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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 480 · 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 38 and 34 =
  2. 2.HCF of 100 and 260 =
  3. 3.HCF of 133 and 361 =
  4. 4.HCF of 192 and 156 =
  5. 5.HCF of 216 and 264 =
  6. 6.HCF of 171 and 162 =
  7. 7.HCF of 8 and 10 =
  8. 8.HCF of 72 and 32 =
  9. 9.HCF of 315 and 168 =
  10. 10.HCF of 195 and 150 =
  11. 11.HCF of 24 and 104 =
  12. 12.HCF of 209 and 361 =
  13. 13.HCF of 28 and 91 =
  14. 14.HCF of 304 and 64 =
  15. 15.HCF of 380 and 140 =
  16. 16.HCF of 76 and 32 =
  17. 17.HCF of 168 and 108 =
  18. 18.HCF of 60 and 51 =
  19. 19.HCF of 15 and 100 =
  20. 20.HCF of 4 and 14 =
  21. 21.HCF of 9 and 39 =
  22. 22.HCF of 140 and 60 =
  23. 23.HCF of 176 and 286 =
  24. 24.HCF of 18 and 4 =
  25. 25.HCF of 300 and 260 =
  26. 26.HCF of 68 and 76 =
  27. 27.HCF of 18 and 34 =
  28. 28.HCF of 187 and 132 =
  29. 29.HCF of 180 and 70 =
  30. 30.HCF of 133 and 190 =
  31. 31.HCF of 42 and 30 =
  32. 32.HCF of 48 and 320 =
  33. 33.HCF of 117 and 27 =
  34. 34.HCF of 52 and 72 =
  35. 35.HCF of 40 and 150 =
  36. 36.HCF of 165 and 154 =
  37. 37.HCF of 208 and 96 =
  38. 38.HCF of 36 and 306 =
  39. 39.HCF of 36 and 80 =
  40. 40.HCF of 72 and 132 =

Answer key

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

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