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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 696 · 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 32 and 272 =
  2. 2.HCF of 340 and 119 =
  3. 3.HCF of 126 and 91 =
  4. 4.HCF of 21 and 35 =
  5. 5.HCF of 38 and 6 =
  6. 6.HCF of 187 and 68 =
  7. 7.HCF of 28 and 80 =
  8. 8.HCF of 170 and 130 =
  9. 9.HCF of 200 and 170 =
  10. 10.HCF of 63 and 112 =
  11. 11.HCF of 396 and 286 =
  12. 12.HCF of 60 and 75 =
  13. 13.HCF of 112 and 120 =
  14. 14.HCF of 34 and 221 =
  15. 15.HCF of 50 and 65 =
  16. 16.HCF of 126 and 196 =
  17. 17.HCF of 16 and 30 =
  18. 18.HCF of 110 and 187 =
  19. 19.HCF of 437 and 230 =
  20. 20.HCF of 238 and 280 =
  21. 21.HCF of 340 and 320 =
  22. 22.HCF of 105 and 135 =
  23. 23.HCF of 72 and 40 =
  24. 24.HCF of 26 and 36 =
  25. 25.HCF of 120 and 340 =
  26. 26.HCF of 255 and 300 =
  27. 27.HCF of 32 and 68 =
  28. 28.HCF of 220 and 33 =
  29. 29.HCF of 27 and 48 =
  30. 30.HCF of 65 and 80 =
  31. 31.HCF of 323 and 340 =
  32. 32.HCF of 90 and 48 =
  33. 33.HCF of 112 and 238 =
  34. 34.HCF of 90 and 144 =
  35. 35.HCF of 80 and 75 =
  36. 36.HCF of 264 and 360 =
  37. 37.HCF of 253 and 115 =
  38. 38.HCF of 115 and 322 =
  39. 39.HCF of 65 and 45 =
  40. 40.HCF of 242 and 66 =

Answer key

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

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