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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 897 · 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 110 and 40 =
  2. 2.HCF of 56 and 119 =
  3. 3.HCF of 95 and 10 =
  4. 4.HCF of 195 and 105 =
  5. 5.HCF of 28 and 133 =
  6. 6.HCF of 209 and 114 =
  7. 7.HCF of 90 and 35 =
  8. 8.HCF of 115 and 276 =
  9. 9.HCF of 100 and 30 =
  10. 10.HCF of 35 and 91 =
  11. 11.HCF of 30 and 102 =
  12. 12.HCF of 48 and 168 =
  13. 13.HCF of 95 and 38 =
  14. 14.HCF of 54 and 180 =
  15. 15.HCF of 63 and 90 =
  16. 16.HCF of 418 and 264 =
  17. 17.HCF of 304 and 95 =
  18. 18.HCF of 10 and 14 =
  19. 19.HCF of 45 and 95 =
  20. 20.HCF of 26 and 117 =
  21. 21.HCF of 234 and 108 =
  22. 22.HCF of 325 and 300 =
  23. 23.HCF of 30 and 225 =
  24. 24.HCF of 42 and 24 =
  25. 25.HCF of 30 and 96 =
  26. 26.HCF of 220 and 240 =
  27. 27.HCF of 456 and 240 =
  28. 28.HCF of 264 and 96 =
  29. 29.HCF of 12 and 16 =
  30. 30.HCF of 55 and 45 =
  31. 31.HCF of 8 and 18 =
  32. 32.HCF of 187 and 132 =
  33. 33.HCF of 15 and 48 =
  34. 34.HCF of 182 and 39 =
  35. 35.HCF of 475 and 250 =
  36. 36.HCF of 20 and 65 =
  37. 37.HCF of 24 and 51 =
  38. 38.HCF of 125 and 350 =
  39. 39.HCF of 60 and 16 =
  40. 40.HCF of 25 and 30 =

Answer key

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

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