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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 970 · 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 126 and 119 =
  2. 2.HCF of 456 and 120 =
  3. 3.HCF of 187 and 143 =
  4. 4.HCF of 96 and 72 =
  5. 5.HCF of 48 and 360 =
  6. 6.HCF of 16 and 18 =
  7. 7.HCF of 209 and 154 =
  8. 8.HCF of 72 and 68 =
  9. 9.HCF of 54 and 126 =
  10. 10.HCF of 280 and 220 =
  11. 11.HCF of 117 and 81 =
  12. 12.HCF of 36 and 56 =
  13. 13.HCF of 154 and 187 =
  14. 14.HCF of 70 and 110 =
  15. 15.HCF of 128 and 112 =
  16. 16.HCF of 360 and 126 =
  17. 17.HCF of 184 and 299 =
  18. 18.HCF of 52 and 36 =
  19. 19.HCF of 75 and 285 =
  20. 20.HCF of 35 and 77 =
  21. 21.HCF of 18 and 57 =
  22. 22.HCF of 54 and 96 =
  23. 23.HCF of 112 and 91 =
  24. 24.HCF of 99 and 171 =
  25. 25.HCF of 45 and 75 =
  26. 26.HCF of 66 and 44 =
  27. 27.HCF of 200 and 60 =
  28. 28.HCF of 270 and 126 =
  29. 29.HCF of 18 and 38 =
  30. 30.HCF of 6 and 57 =
  31. 31.HCF of 56 and 48 =
  32. 32.HCF of 72 and 64 =
  33. 33.HCF of 152 and 133 =
  34. 34.HCF of 18 and 171 =
  35. 35.HCF of 22 and 121 =
  36. 36.HCF of 60 and 320 =
  37. 37.HCF of 56 and 128 =
  38. 38.HCF of 35 and 100 =
  39. 39.HCF of 324 and 198 =
  40. 40.HCF of 128 and 240 =

Answer key

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

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