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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 194 · 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 200 and 375 =
  2. 2.HCF of 45 and 144 =
  3. 3.HCF of 33 and 209 =
  4. 4.HCF of 42 and 231 =
  5. 5.HCF of 35 and 60 =
  6. 6.HCF of 247 and 208 =
  7. 7.HCF of 108 and 156 =
  8. 8.HCF of 77 and 165 =
  9. 9.HCF of 28 and 36 =
  10. 10.HCF of 190 and 100 =
  11. 11.HCF of 36 and 84 =
  12. 12.HCF of 275 and 250 =
  13. 13.HCF of 4 and 14 =
  14. 14.HCF of 22 and 8 =
  15. 15.HCF of 135 and 126 =
  16. 16.HCF of 432 and 168 =
  17. 17.HCF of 112 and 176 =
  18. 18.HCF of 44 and 20 =
  19. 19.HCF of 25 and 10 =
  20. 20.HCF of 120 and 190 =
  21. 21.HCF of 187 and 132 =
  22. 22.HCF of 120 and 156 =
  23. 23.HCF of 119 and 204 =
  24. 24.HCF of 56 and 60 =
  25. 25.HCF of 60 and 225 =
  26. 26.HCF of 45 and 210 =
  27. 27.HCF of 72 and 264 =
  28. 28.HCF of 21 and 30 =
  29. 29.HCF of 323 and 285 =
  30. 30.HCF of 57 and 95 =
  31. 31.HCF of 152 and 32 =
  32. 32.HCF of 114 and 120 =
  33. 33.HCF of 60 and 105 =
  34. 34.HCF of 286 and 88 =
  35. 35.HCF of 57 and 36 =
  36. 36.HCF of 26 and 10 =
  37. 37.HCF of 49 and 35 =
  38. 38.HCF of 168 and 216 =
  39. 39.HCF of 126 and 216 =
  40. 40.HCF of 209 and 57 =

Answer key

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

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