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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 543 · 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 112 and 77 =
  2. 2.HCF of 275 and 475 =
  3. 3.HCF of 176 and 418 =
  4. 4.HCF of 114 and 60 =
  5. 5.HCF of 33 and 44 =
  6. 6.HCF of 65 and 10 =
  7. 7.HCF of 115 and 46 =
  8. 8.HCF of 38 and 323 =
  9. 9.HCF of 110 and 187 =
  10. 10.HCF of 125 and 50 =
  11. 11.HCF of 216 and 384 =
  12. 12.HCF of 275 and 100 =
  13. 13.HCF of 57 and 27 =
  14. 14.HCF of 304 and 80 =
  15. 15.HCF of 132 and 108 =
  16. 16.HCF of 55 and 77 =
  17. 17.HCF of 120 and 255 =
  18. 18.HCF of 75 and 165 =
  19. 19.HCF of 170 and 110 =
  20. 20.HCF of 69 and 46 =
  21. 21.HCF of 33 and 36 =
  22. 22.HCF of 198 and 72 =
  23. 23.HCF of 45 and 55 =
  24. 24.HCF of 114 and 66 =
  25. 25.HCF of 275 and 375 =
  26. 26.HCF of 91 and 26 =
  27. 27.HCF of 270 and 252 =
  28. 28.HCF of 45 and 99 =
  29. 29.HCF of 9 and 42 =
  30. 30.HCF of 144 and 27 =
  31. 31.HCF of 98 and 266 =
  32. 32.HCF of 117 and 221 =
  33. 33.HCF of 20 and 50 =
  34. 34.HCF of 119 and 70 =
  35. 35.HCF of 88 and 72 =
  36. 36.HCF of 108 and 192 =
  37. 37.HCF of 242 and 110 =
  38. 38.HCF of 125 and 325 =
  39. 39.HCF of 230 and 391 =
  40. 40.HCF of 180 and 75 =

Answer key

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

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