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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 804 · 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 20 and 14 =
  2. 2.HCF of 4 and 26 =
  3. 3.HCF of 380 and 323 =
  4. 4.HCF of 72 and 104 =
  5. 5.HCF of 216 and 48 =
  6. 6.HCF of 110 and 160 =
  7. 7.HCF of 336 and 120 =
  8. 8.HCF of 33 and 110 =
  9. 9.HCF of 204 and 72 =
  10. 10.HCF of 60 and 285 =
  11. 11.HCF of 273 and 126 =
  12. 12.HCF of 35 and 15 =
  13. 13.HCF of 85 and 65 =
  14. 14.HCF of 84 and 231 =
  15. 15.HCF of 104 and 160 =
  16. 16.HCF of 140 and 320 =
  17. 17.HCF of 184 and 253 =
  18. 18.HCF of 12 and 45 =
  19. 19.HCF of 92 and 437 =
  20. 20.HCF of 204 and 108 =
  21. 21.HCF of 33 and 55 =
  22. 22.HCF of 171 and 126 =
  23. 23.HCF of 176 and 110 =
  24. 24.HCF of 77 and 35 =
  25. 25.HCF of 30 and 195 =
  26. 26.HCF of 306 and 221 =
  27. 27.HCF of 360 and 100 =
  28. 28.HCF of 27 and 36 =
  29. 29.HCF of 48 and 42 =
  30. 30.HCF of 45 and 108 =
  31. 31.HCF of 135 and 144 =
  32. 32.HCF of 50 and 55 =
  33. 33.HCF of 380 and 260 =
  34. 34.HCF of 38 and 16 =
  35. 35.HCF of 63 and 180 =
  36. 36.HCF of 76 and 72 =
  37. 37.HCF of 361 and 95 =
  38. 38.HCF of 88 and 418 =
  39. 39.HCF of 77 and 133 =
  40. 40.HCF of 414 and 437 =

Answer key

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

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