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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 895 · 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 190 and 120 =
  2. 2.HCF of 33 and 176 =
  3. 3.HCF of 21 and 57 =
  4. 4.HCF of 88 and 198 =
  5. 5.HCF of 320 and 100 =
  6. 6.HCF of 240 and 32 =
  7. 7.HCF of 147 and 126 =
  8. 8.HCF of 76 and 64 =
  9. 9.HCF of 24 and 76 =
  10. 10.HCF of 285 and 60 =
  11. 11.HCF of 114 and 120 =
  12. 12.HCF of 105 and 14 =
  13. 13.HCF of 6 and 8 =
  14. 14.HCF of 270 and 234 =
  15. 15.HCF of 135 and 18 =
  16. 16.HCF of 80 and 256 =
  17. 17.HCF of 112 and 48 =
  18. 18.HCF of 45 and 162 =
  19. 19.HCF of 144 and 304 =
  20. 20.HCF of 95 and 20 =
  21. 21.HCF of 84 and 30 =
  22. 22.HCF of 75 and 135 =
  23. 23.HCF of 12 and 78 =
  24. 24.HCF of 408 and 264 =
  25. 25.HCF of 32 and 24 =
  26. 26.HCF of 380 and 300 =
  27. 27.HCF of 81 and 99 =
  28. 28.HCF of 165 and 22 =
  29. 29.HCF of 26 and 34 =
  30. 30.HCF of 280 and 260 =
  31. 31.HCF of 132 and 48 =
  32. 32.HCF of 368 and 161 =
  33. 33.HCF of 40 and 32 =
  34. 34.HCF of 289 and 340 =
  35. 35.HCF of 117 and 208 =
  36. 36.HCF of 9 and 30 =
  37. 37.HCF of 216 and 240 =
  38. 38.HCF of 20 and 6 =
  39. 39.HCF of 216 and 60 =
  40. 40.HCF of 110 and 20 =

Answer key

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

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