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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 979 · 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 150 and 125 =
  2. 2.HCF of 115 and 368 =
  3. 3.HCF of 216 and 204 =
  4. 4.HCF of 153 and 18 =
  5. 5.HCF of 225 and 210 =
  6. 6.HCF of 425 and 75 =
  7. 7.HCF of 152 and 247 =
  8. 8.HCF of 72 and 228 =
  9. 9.HCF of 54 and 72 =
  10. 10.HCF of 360 and 380 =
  11. 11.HCF of 12 and 32 =
  12. 12.HCF of 400 and 425 =
  13. 13.HCF of 264 and 48 =
  14. 14.HCF of 350 and 75 =
  15. 15.HCF of 112 and 105 =
  16. 16.HCF of 78 and 91 =
  17. 17.HCF of 88 and 160 =
  18. 18.HCF of 108 and 48 =
  19. 19.HCF of 216 and 192 =
  20. 20.HCF of 85 and 289 =
  21. 21.HCF of 30 and 36 =
  22. 22.HCF of 112 and 210 =
  23. 23.HCF of 98 and 210 =
  24. 24.HCF of 272 and 323 =
  25. 25.HCF of 60 and 35 =
  26. 26.HCF of 323 and 68 =
  27. 27.HCF of 72 and 480 =
  28. 28.HCF of 119 and 323 =
  29. 29.HCF of 72 and 78 =
  30. 30.HCF of 98 and 105 =
  31. 31.HCF of 66 and 30 =
  32. 32.HCF of 38 and 8 =
  33. 33.HCF of 16 and 6 =
  34. 34.HCF of 152 and 136 =
  35. 35.HCF of 15 and 35 =
  36. 36.HCF of 119 and 105 =
  37. 37.HCF of 77 and 14 =
  38. 38.HCF of 152 and 136 =
  39. 39.HCF of 25 and 30 =
  40. 40.HCF of 66 and 286 =

Answer key

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

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