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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 196 · 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 375 and 350 =
  2. 2.HCF of 45 and 18 =
  3. 3.HCF of 65 and 15 =
  4. 4.HCF of 170 and 110 =
  5. 5.HCF of 320 and 272 =
  6. 6.HCF of 24 and 54 =
  7. 7.HCF of 35 and 42 =
  8. 8.HCF of 380 and 323 =
  9. 9.HCF of 30 and 21 =
  10. 10.HCF of 48 and 102 =
  11. 11.HCF of 273 and 189 =
  12. 12.HCF of 30 and 65 =
  13. 13.HCF of 84 and 35 =
  14. 14.HCF of 100 and 120 =
  15. 15.HCF of 99 and 36 =
  16. 16.HCF of 18 and 27 =
  17. 17.HCF of 175 and 250 =
  18. 18.HCF of 110 and 140 =
  19. 19.HCF of 128 and 104 =
  20. 20.HCF of 187 and 33 =
  21. 21.HCF of 39 and 48 =
  22. 22.HCF of 24 and 16 =
  23. 23.HCF of 24 and 84 =
  24. 24.HCF of 133 and 171 =
  25. 25.HCF of 323 and 57 =
  26. 26.HCF of 85 and 60 =
  27. 27.HCF of 231 and 294 =
  28. 28.HCF of 36 and 15 =
  29. 29.HCF of 380 and 60 =
  30. 30.HCF of 273 and 315 =
  31. 31.HCF of 108 and 198 =
  32. 32.HCF of 170 and 20 =
  33. 33.HCF of 425 and 400 =
  34. 34.HCF of 456 and 288 =
  35. 35.HCF of 210 and 266 =
  36. 36.HCF of 64 and 56 =
  37. 37.HCF of 28 and 18 =
  38. 38.HCF of 391 and 161 =
  39. 39.HCF of 360 and 456 =
  40. 40.HCF of 323 and 51 =

Answer key

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

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