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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 960 · 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 36 and 24 =
  2. 2.HCF of 228 and 108 =
  3. 3.HCF of 25 and 30 =
  4. 4.HCF of 272 and 96 =
  5. 5.HCF of 6 and 27 =
  6. 6.HCF of 48 and 64 =
  7. 7.HCF of 110 and 60 =
  8. 8.HCF of 4 and 14 =
  9. 9.HCF of 20 and 64 =
  10. 10.HCF of 110 and 132 =
  11. 11.HCF of 208 and 64 =
  12. 12.HCF of 280 and 238 =
  13. 13.HCF of 98 and 280 =
  14. 14.HCF of 70 and 50 =
  15. 15.HCF of 119 and 49 =
  16. 16.HCF of 260 and 180 =
  17. 17.HCF of 144 and 54 =
  18. 18.HCF of 42 and 108 =
  19. 19.HCF of 170 and 120 =
  20. 20.HCF of 50 and 95 =
  21. 21.HCF of 105 and 240 =
  22. 22.HCF of 128 and 24 =
  23. 23.HCF of 15 and 27 =
  24. 24.HCF of 190 and 133 =
  25. 25.HCF of 28 and 30 =
  26. 26.HCF of 230 and 299 =
  27. 27.HCF of 42 and 112 =
  28. 28.HCF of 300 and 255 =
  29. 29.HCF of 168 and 384 =
  30. 30.HCF of 26 and 117 =
  31. 31.HCF of 48 and 32 =
  32. 32.HCF of 204 and 85 =
  33. 33.HCF of 14 and 105 =
  34. 34.HCF of 306 and 288 =
  35. 35.HCF of 28 and 182 =
  36. 36.HCF of 35 and 95 =
  37. 37.HCF of 175 and 400 =
  38. 38.HCF of 220 and 143 =
  39. 39.HCF of 253 and 460 =
  40. 40.HCF of 225 and 250 =

Answer key

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

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