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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 914 · 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 320 and 112 =
  2. 2.HCF of 270 and 75 =
  3. 3.HCF of 323 and 306 =
  4. 4.HCF of 192 and 84 =
  5. 5.HCF of 168 and 360 =
  6. 6.HCF of 180 and 140 =
  7. 7.HCF of 100 and 340 =
  8. 8.HCF of 96 and 80 =
  9. 9.HCF of 27 and 45 =
  10. 10.HCF of 360 and 162 =
  11. 11.HCF of 70 and 168 =
  12. 12.HCF of 114 and 60 =
  13. 13.HCF of 143 and 247 =
  14. 14.HCF of 299 and 46 =
  15. 15.HCF of 286 and 110 =
  16. 16.HCF of 72 and 270 =
  17. 17.HCF of 224 and 154 =
  18. 18.HCF of 121 and 176 =
  19. 19.HCF of 187 and 102 =
  20. 20.HCF of 90 and 160 =
  21. 21.HCF of 104 and 32 =
  22. 22.HCF of 153 and 85 =
  23. 23.HCF of 45 and 6 =
  24. 24.HCF of 230 and 69 =
  25. 25.HCF of 121 and 165 =
  26. 26.HCF of 35 and 10 =
  27. 27.HCF of 36 and 102 =
  28. 28.HCF of 42 and 57 =
  29. 29.HCF of 92 and 391 =
  30. 30.HCF of 75 and 70 =
  31. 31.HCF of 65 and 35 =
  32. 32.HCF of 84 and 70 =
  33. 33.HCF of 380 and 260 =
  34. 34.HCF of 133 and 190 =
  35. 35.HCF of 110 and 132 =
  36. 36.HCF of 40 and 90 =
  37. 37.HCF of 112 and 105 =
  38. 38.HCF of 475 and 275 =
  39. 39.HCF of 14 and 16 =
  40. 40.HCF of 78 and 114 =

Answer key

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

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