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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 748 · 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 27 and 126 =
  2. 2.HCF of 195 and 221 =
  3. 3.HCF of 10 and 4 =
  4. 4.HCF of 60 and 65 =
  5. 5.HCF of 50 and 190 =
  6. 6.HCF of 21 and 33 =
  7. 7.HCF of 253 and 115 =
  8. 8.HCF of 273 and 315 =
  9. 9.HCF of 24 and 10 =
  10. 10.HCF of 228 and 192 =
  11. 11.HCF of 78 and 36 =
  12. 12.HCF of 96 and 112 =
  13. 13.HCF of 51 and 45 =
  14. 14.HCF of 104 and 88 =
  15. 15.HCF of 391 and 115 =
  16. 16.HCF of 15 and 24 =
  17. 17.HCF of 85 and 272 =
  18. 18.HCF of 161 and 230 =
  19. 19.HCF of 154 and 182 =
  20. 20.HCF of 154 and 84 =
  21. 21.HCF of 70 and 200 =
  22. 22.HCF of 224 and 272 =
  23. 23.HCF of 357 and 168 =
  24. 24.HCF of 272 and 288 =
  25. 25.HCF of 252 and 70 =
  26. 26.HCF of 66 and 220 =
  27. 27.HCF of 286 and 176 =
  28. 28.HCF of 187 and 51 =
  29. 29.HCF of 126 and 196 =
  30. 30.HCF of 210 and 28 =
  31. 31.HCF of 27 and 21 =
  32. 32.HCF of 352 and 418 =
  33. 33.HCF of 171 and 304 =
  34. 34.HCF of 54 and 180 =
  35. 35.HCF of 126 and 35 =
  36. 36.HCF of 96 and 40 =
  37. 37.HCF of 40 and 112 =
  38. 38.HCF of 144 and 88 =
  39. 39.HCF of 48 and 360 =
  40. 40.HCF of 12 and 10 =

Answer key

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

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