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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 112 · 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 33 and 110 =
  2. 2.HCF of 247 and 266 =
  3. 3.HCF of 76 and 60 =
  4. 4.HCF of 286 and 440 =
  5. 5.HCF of 250 and 75 =
  6. 6.HCF of 57 and 33 =
  7. 7.HCF of 24 and 33 =
  8. 8.HCF of 48 and 120 =
  9. 9.HCF of 286 and 176 =
  10. 10.HCF of 12 and 39 =
  11. 11.HCF of 39 and 33 =
  12. 12.HCF of 24 and 9 =
  13. 13.HCF of 77 and 14 =
  14. 14.HCF of 432 and 264 =
  15. 15.HCF of 80 and 95 =
  16. 16.HCF of 49 and 77 =
  17. 17.HCF of 16 and 44 =
  18. 18.HCF of 399 and 357 =
  19. 19.HCF of 48 and 108 =
  20. 20.HCF of 22 and 16 =
  21. 21.HCF of 221 and 260 =
  22. 22.HCF of 115 and 299 =
  23. 23.HCF of 63 and 105 =
  24. 24.HCF of 84 and 77 =
  25. 25.HCF of 66 and 88 =
  26. 26.HCF of 102 and 114 =
  27. 27.HCF of 90 and 25 =
  28. 28.HCF of 25 and 20 =
  29. 29.HCF of 75 and 475 =
  30. 30.HCF of 391 and 69 =
  31. 31.HCF of 70 and 28 =
  32. 32.HCF of 10 and 28 =
  33. 33.HCF of 30 and 66 =
  34. 34.HCF of 78 and 143 =
  35. 35.HCF of 272 and 48 =
  36. 36.HCF of 153 and 108 =
  37. 37.HCF of 54 and 171 =
  38. 38.HCF of 56 and 20 =
  39. 39.HCF of 224 and 154 =
  40. 40.HCF of 60 and 380 =

Answer key

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

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