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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 360 · 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 40 and 28 =
  2. 2.HCF of 75 and 85 =
  3. 3.HCF of 28 and 35 =
  4. 4.HCF of 24 and 32 =
  5. 5.HCF of 320 and 272 =
  6. 6.HCF of 221 and 187 =
  7. 7.HCF of 80 and 65 =
  8. 8.HCF of 380 and 361 =
  9. 9.HCF of 70 and 133 =
  10. 10.HCF of 16 and 36 =
  11. 11.HCF of 45 and 126 =
  12. 12.HCF of 60 and 400 =
  13. 13.HCF of 21 and 45 =
  14. 14.HCF of 300 and 195 =
  15. 15.HCF of 187 and 51 =
  16. 16.HCF of 108 and 78 =
  17. 17.HCF of 56 and 144 =
  18. 18.HCF of 456 and 432 =
  19. 19.HCF of 32 and 12 =
  20. 20.HCF of 108 and 204 =
  21. 21.HCF of 75 and 240 =
  22. 22.HCF of 176 and 110 =
  23. 23.HCF of 220 and 140 =
  24. 24.HCF of 300 and 135 =
  25. 25.HCF of 44 and 121 =
  26. 26.HCF of 108 and 48 =
  27. 27.HCF of 216 and 120 =
  28. 28.HCF of 95 and 55 =
  29. 29.HCF of 98 and 28 =
  30. 30.HCF of 81 and 180 =
  31. 31.HCF of 20 and 68 =
  32. 32.HCF of 63 and 117 =
  33. 33.HCF of 460 and 253 =
  34. 34.HCF of 70 and 100 =
  35. 35.HCF of 260 and 143 =
  36. 36.HCF of 32 and 76 =
  37. 37.HCF of 112 and 210 =
  38. 38.HCF of 114 and 247 =
  39. 39.HCF of 266 and 247 =
  40. 40.HCF of 240 and 224 =

Answer key

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

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