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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 116 · 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 260 and 39 =
  2. 2.HCF of 27 and 60 =
  3. 3.HCF of 45 and 117 =
  4. 4.HCF of 14 and 38 =
  5. 5.HCF of 440 and 66 =
  6. 6.HCF of 252 and 70 =
  7. 7.HCF of 288 and 54 =
  8. 8.HCF of 304 and 95 =
  9. 9.HCF of 42 and 102 =
  10. 10.HCF of 77 and 132 =
  11. 11.HCF of 192 and 208 =
  12. 12.HCF of 312 and 480 =
  13. 13.HCF of 38 and 14 =
  14. 14.HCF of 22 and 209 =
  15. 15.HCF of 352 and 286 =
  16. 16.HCF of 6 and 32 =
  17. 17.HCF of 45 and 120 =
  18. 18.HCF of 90 and 144 =
  19. 19.HCF of 360 and 336 =
  20. 20.HCF of 48 and 72 =
  21. 21.HCF of 85 and 15 =
  22. 22.HCF of 54 and 30 =
  23. 23.HCF of 44 and 60 =
  24. 24.HCF of 36 and 48 =
  25. 25.HCF of 18 and 78 =
  26. 26.HCF of 294 and 399 =
  27. 27.HCF of 49 and 119 =
  28. 28.HCF of 208 and 128 =
  29. 29.HCF of 225 and 275 =
  30. 30.HCF of 156 and 36 =
  31. 31.HCF of 154 and 176 =
  32. 32.HCF of 40 and 15 =
  33. 33.HCF of 16 and 34 =
  34. 34.HCF of 119 and 77 =
  35. 35.HCF of 126 and 144 =
  36. 36.HCF of 384 and 120 =
  37. 37.HCF of 133 and 209 =
  38. 38.HCF of 48 and 156 =
  39. 39.HCF of 306 and 180 =
  40. 40.HCF of 36 and 30 =

Answer key

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

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