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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 948 · 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 273 and 147 =
  2. 2.HCF of 153 and 63 =
  3. 3.HCF of 44 and 8 =
  4. 4.HCF of 288 and 168 =
  5. 5.HCF of 192 and 72 =
  6. 6.HCF of 130 and 50 =
  7. 7.HCF of 209 and 171 =
  8. 8.HCF of 80 and 192 =
  9. 9.HCF of 35 and 50 =
  10. 10.HCF of 120 and 288 =
  11. 11.HCF of 98 and 168 =
  12. 12.HCF of 80 and 180 =
  13. 13.HCF of 27 and 36 =
  14. 14.HCF of 184 and 391 =
  15. 15.HCF of 48 and 52 =
  16. 16.HCF of 105 and 28 =
  17. 17.HCF of 46 and 69 =
  18. 18.HCF of 121 and 33 =
  19. 19.HCF of 108 and 114 =
  20. 20.HCF of 51 and 21 =
  21. 21.HCF of 240 and 204 =
  22. 22.HCF of 60 and 255 =
  23. 23.HCF of 60 and 64 =
  24. 24.HCF of 24 and 20 =
  25. 25.HCF of 425 and 400 =
  26. 26.HCF of 154 and 28 =
  27. 27.HCF of 108 and 171 =
  28. 28.HCF of 306 and 324 =
  29. 29.HCF of 52 and 40 =
  30. 30.HCF of 133 and 28 =
  31. 31.HCF of 54 and 78 =
  32. 32.HCF of 114 and 30 =
  33. 33.HCF of 380 and 200 =
  34. 34.HCF of 361 and 342 =
  35. 35.HCF of 80 and 60 =
  36. 36.HCF of 14 and 26 =
  37. 37.HCF of 130 and 110 =
  38. 38.HCF of 88 and 110 =
  39. 39.HCF of 105 and 63 =
  40. 40.HCF of 45 and 51 =

Answer key

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

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