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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 282 · 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 105 and 180 =
  2. 2.HCF of 30 and 36 =
  3. 3.HCF of 24 and 22 =
  4. 4.HCF of 96 and 176 =
  5. 5.HCF of 114 and 60 =
  6. 6.HCF of 200 and 125 =
  7. 7.HCF of 80 and 12 =
  8. 8.HCF of 114 and 18 =
  9. 9.HCF of 50 and 120 =
  10. 10.HCF of 45 and 25 =
  11. 11.HCF of 253 and 46 =
  12. 12.HCF of 72 and 192 =
  13. 13.HCF of 126 and 98 =
  14. 14.HCF of 96 and 456 =
  15. 15.HCF of 147 and 357 =
  16. 16.HCF of 110 and 200 =
  17. 17.HCF of 45 and 72 =
  18. 18.HCF of 247 and 171 =
  19. 19.HCF of 240 and 84 =
  20. 20.HCF of 72 and 168 =
  21. 21.HCF of 143 and 65 =
  22. 22.HCF of 170 and 130 =
  23. 23.HCF of 140 and 340 =
  24. 24.HCF of 209 and 22 =
  25. 25.HCF of 140 and 320 =
  26. 26.HCF of 78 and 221 =
  27. 27.HCF of 48 and 20 =
  28. 28.HCF of 144 and 99 =
  29. 29.HCF of 50 and 225 =
  30. 30.HCF of 39 and 65 =
  31. 31.HCF of 90 and 102 =
  32. 32.HCF of 320 and 304 =
  33. 33.HCF of 170 and 70 =
  34. 34.HCF of 32 and 240 =
  35. 35.HCF of 54 and 180 =
  36. 36.HCF of 180 and 80 =
  37. 37.HCF of 154 and 286 =
  38. 38.HCF of 84 and 105 =
  39. 39.HCF of 133 and 76 =
  40. 40.HCF of 45 and 27 =

Answer key

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

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