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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 577 · 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 266 and 252 =
  2. 2.HCF of 57 and 24 =
  3. 3.HCF of 18 and 12 =
  4. 4.HCF of 414 and 115 =
  5. 5.HCF of 20 and 52 =
  6. 6.HCF of 16 and 38 =
  7. 7.HCF of 300 and 135 =
  8. 8.HCF of 72 and 52 =
  9. 9.HCF of 198 and 360 =
  10. 10.HCF of 57 and 6 =
  11. 11.HCF of 323 and 209 =
  12. 12.HCF of 112 and 208 =
  13. 13.HCF of 208 and 65 =
  14. 14.HCF of 400 and 140 =
  15. 15.HCF of 30 and 100 =
  16. 16.HCF of 84 and 77 =
  17. 17.HCF of 216 and 384 =
  18. 18.HCF of 50 and 125 =
  19. 19.HCF of 8 and 52 =
  20. 20.HCF of 105 and 75 =
  21. 21.HCF of 306 and 288 =
  22. 22.HCF of 72 and 136 =
  23. 23.HCF of 165 and 187 =
  24. 24.HCF of 64 and 52 =
  25. 25.HCF of 125 and 100 =
  26. 26.HCF of 342 and 108 =
  27. 27.HCF of 289 and 272 =
  28. 28.HCF of 288 and 126 =
  29. 29.HCF of 22 and 10 =
  30. 30.HCF of 204 and 72 =
  31. 31.HCF of 160 and 60 =
  32. 32.HCF of 256 and 112 =
  33. 33.HCF of 210 and 28 =
  34. 34.HCF of 161 and 414 =
  35. 35.HCF of 130 and 60 =
  36. 36.HCF of 256 and 48 =
  37. 37.HCF of 247 and 209 =
  38. 38.HCF of 190 and 90 =
  39. 39.HCF of 40 and 24 =
  40. 40.HCF of 384 and 360 =

Answer key

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

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