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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 929 · 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 162 and 63 =
  2. 2.HCF of 32 and 44 =
  3. 3.HCF of 234 and 36 =
  4. 4.HCF of 108 and 117 =
  5. 5.HCF of 90 and 36 =
  6. 6.HCF of 35 and 45 =
  7. 7.HCF of 81 and 90 =
  8. 8.HCF of 72 and 342 =
  9. 9.HCF of 204 and 119 =
  10. 10.HCF of 42 and 27 =
  11. 11.HCF of 133 and 28 =
  12. 12.HCF of 161 and 368 =
  13. 13.HCF of 320 and 48 =
  14. 14.HCF of 128 and 176 =
  15. 15.HCF of 180 and 24 =
  16. 16.HCF of 320 and 112 =
  17. 17.HCF of 49 and 126 =
  18. 18.HCF of 18 and 33 =
  19. 19.HCF of 380 and 160 =
  20. 20.HCF of 105 and 133 =
  21. 21.HCF of 91 and 126 =
  22. 22.HCF of 168 and 63 =
  23. 23.HCF of 34 and 28 =
  24. 24.HCF of 240 and 100 =
  25. 25.HCF of 210 and 45 =
  26. 26.HCF of 104 and 72 =
  27. 27.HCF of 18 and 4 =
  28. 28.HCF of 42 and 57 =
  29. 29.HCF of 380 and 400 =
  30. 30.HCF of 266 and 84 =
  31. 31.HCF of 60 and 78 =
  32. 32.HCF of 336 and 189 =
  33. 33.HCF of 49 and 28 =
  34. 34.HCF of 88 and 77 =
  35. 35.HCF of 88 and 418 =
  36. 36.HCF of 204 and 187 =
  37. 37.HCF of 45 and 55 =
  38. 38.HCF of 207 and 230 =
  39. 39.HCF of 42 and 9 =
  40. 40.HCF of 272 and 304 =

Answer key

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

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