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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 930 · 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 171 and 144 =
  2. 2.HCF of 121 and 110 =
  3. 3.HCF of 44 and 110 =
  4. 4.HCF of 130 and 40 =
  5. 5.HCF of 39 and 182 =
  6. 6.HCF of 21 and 54 =
  7. 7.HCF of 361 and 228 =
  8. 8.HCF of 225 and 240 =
  9. 9.HCF of 238 and 196 =
  10. 10.HCF of 20 and 15 =
  11. 11.HCF of 140 and 49 =
  12. 12.HCF of 391 and 437 =
  13. 13.HCF of 66 and 12 =
  14. 14.HCF of 216 and 204 =
  15. 15.HCF of 384 and 360 =
  16. 16.HCF of 84 and 228 =
  17. 17.HCF of 270 and 72 =
  18. 18.HCF of 285 and 225 =
  19. 19.HCF of 42 and 48 =
  20. 20.HCF of 114 and 209 =
  21. 21.HCF of 357 and 105 =
  22. 22.HCF of 130 and 110 =
  23. 23.HCF of 119 and 272 =
  24. 24.HCF of 184 and 437 =
  25. 25.HCF of 95 and 152 =
  26. 26.HCF of 16 and 20 =
  27. 27.HCF of 22 and 12 =
  28. 28.HCF of 156 and 72 =
  29. 29.HCF of 270 and 36 =
  30. 30.HCF of 64 and 60 =
  31. 31.HCF of 306 and 72 =
  32. 32.HCF of 92 and 299 =
  33. 33.HCF of 63 and 105 =
  34. 34.HCF of 10 and 35 =
  35. 35.HCF of 336 and 312 =
  36. 36.HCF of 110 and 88 =
  37. 37.HCF of 20 and 30 =
  38. 38.HCF of 34 and 14 =
  39. 39.HCF of 65 and 39 =
  40. 40.HCF of 126 and 342 =

Answer key

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

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