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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 838 · 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 154 and 132 =
  2. 2.HCF of 400 and 475 =
  3. 3.HCF of 75 and 120 =
  4. 4.HCF of 234 and 90 =
  5. 5.HCF of 220 and 286 =
  6. 6.HCF of 57 and 48 =
  7. 7.HCF of 220 and 374 =
  8. 8.HCF of 110 and 154 =
  9. 9.HCF of 286 and 110 =
  10. 10.HCF of 216 and 84 =
  11. 11.HCF of 39 and 24 =
  12. 12.HCF of 380 and 300 =
  13. 13.HCF of 30 and 80 =
  14. 14.HCF of 32 and 68 =
  15. 15.HCF of 240 and 255 =
  16. 16.HCF of 180 and 70 =
  17. 17.HCF of 45 and 285 =
  18. 18.HCF of 112 and 133 =
  19. 19.HCF of 76 and 44 =
  20. 20.HCF of 12 and 80 =
  21. 21.HCF of 437 and 46 =
  22. 22.HCF of 168 and 288 =
  23. 23.HCF of 150 and 160 =
  24. 24.HCF of 38 and 57 =
  25. 25.HCF of 375 and 50 =
  26. 26.HCF of 380 and 247 =
  27. 27.HCF of 76 and 36 =
  28. 28.HCF of 57 and 12 =
  29. 29.HCF of 380 and 361 =
  30. 30.HCF of 85 and 204 =
  31. 31.HCF of 342 and 144 =
  32. 32.HCF of 30 and 51 =
  33. 33.HCF of 85 and 306 =
  34. 34.HCF of 176 and 304 =
  35. 35.HCF of 80 and 28 =
  36. 36.HCF of 207 and 184 =
  37. 37.HCF of 36 and 40 =
  38. 38.HCF of 285 and 209 =
  39. 39.HCF of 144 and 112 =
  40. 40.HCF of 14 and 4 =

Answer key

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

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