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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 950 · 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 252 and 105 =
  2. 2.HCF of 154 and 140 =
  3. 3.HCF of 6 and 28 =
  4. 4.HCF of 192 and 132 =
  5. 5.HCF of 6 and 9 =
  6. 6.HCF of 375 and 50 =
  7. 7.HCF of 16 and 38 =
  8. 8.HCF of 42 and 54 =
  9. 9.HCF of 180 and 234 =
  10. 10.HCF of 22 and 187 =
  11. 11.HCF of 325 and 250 =
  12. 12.HCF of 63 and 81 =
  13. 13.HCF of 209 and 38 =
  14. 14.HCF of 120 and 45 =
  15. 15.HCF of 70 and 110 =
  16. 16.HCF of 76 and 285 =
  17. 17.HCF of 255 and 45 =
  18. 18.HCF of 120 and 190 =
  19. 19.HCF of 216 and 312 =
  20. 20.HCF of 32 and 6 =
  21. 21.HCF of 306 and 144 =
  22. 22.HCF of 374 and 198 =
  23. 23.HCF of 286 and 132 =
  24. 24.HCF of 110 and 190 =
  25. 25.HCF of 55 and 66 =
  26. 26.HCF of 352 and 154 =
  27. 27.HCF of 20 and 44 =
  28. 28.HCF of 275 and 150 =
  29. 29.HCF of 437 and 368 =
  30. 30.HCF of 63 and 180 =
  31. 31.HCF of 64 and 24 =
  32. 32.HCF of 176 and 66 =
  33. 33.HCF of 195 and 45 =
  34. 34.HCF of 342 and 95 =
  35. 35.HCF of 75 and 95 =
  36. 36.HCF of 143 and 39 =
  37. 37.HCF of 384 and 360 =
  38. 38.HCF of 119 and 68 =
  39. 39.HCF of 65 and 100 =
  40. 40.HCF of 176 and 128 =

Answer key

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

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