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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 458 · 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 187 and 176 =
  2. 2.HCF of 33 and 48 =
  3. 3.HCF of 57 and 54 =
  4. 4.HCF of 98 and 105 =
  5. 5.HCF of 272 and 64 =
  6. 6.HCF of 78 and 30 =
  7. 7.HCF of 77 and 55 =
  8. 8.HCF of 456 and 360 =
  9. 9.HCF of 38 and 10 =
  10. 10.HCF of 140 and 130 =
  11. 11.HCF of 35 and 10 =
  12. 12.HCF of 24 and 104 =
  13. 13.HCF of 475 and 325 =
  14. 14.HCF of 272 and 304 =
  15. 15.HCF of 20 and 76 =
  16. 16.HCF of 91 and 65 =
  17. 17.HCF of 180 and 171 =
  18. 18.HCF of 90 and 198 =
  19. 19.HCF of 6 and 38 =
  20. 20.HCF of 128 and 304 =
  21. 21.HCF of 34 and 26 =
  22. 22.HCF of 96 and 102 =
  23. 23.HCF of 224 and 48 =
  24. 24.HCF of 324 and 306 =
  25. 25.HCF of 85 and 20 =
  26. 26.HCF of 150 and 175 =
  27. 27.HCF of 8 and 60 =
  28. 28.HCF of 20 and 22 =
  29. 29.HCF of 110 and 70 =
  30. 30.HCF of 100 and 60 =
  31. 31.HCF of 90 and 42 =
  32. 32.HCF of 16 and 10 =
  33. 33.HCF of 247 and 152 =
  34. 34.HCF of 60 and 36 =
  35. 35.HCF of 100 and 15 =
  36. 36.HCF of 40 and 75 =
  37. 37.HCF of 72 and 126 =
  38. 38.HCF of 120 and 75 =
  39. 39.HCF of 168 and 315 =
  40. 40.HCF of 91 and 140 =

Answer key

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

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