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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 213 · 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 4 and 26 =
  2. 2.HCF of 255 and 135 =
  3. 3.HCF of 78 and 12 =
  4. 4.HCF of 68 and 40 =
  5. 5.HCF of 48 and 52 =
  6. 6.HCF of 24 and 102 =
  7. 7.HCF of 150 and 325 =
  8. 8.HCF of 119 and 14 =
  9. 9.HCF of 14 and 21 =
  10. 10.HCF of 190 and 57 =
  11. 11.HCF of 105 and 180 =
  12. 12.HCF of 4 and 18 =
  13. 13.HCF of 66 and 374 =
  14. 14.HCF of 56 and 128 =
  15. 15.HCF of 180 and 306 =
  16. 16.HCF of 170 and 150 =
  17. 17.HCF of 360 and 384 =
  18. 18.HCF of 72 and 408 =
  19. 19.HCF of 40 and 32 =
  20. 20.HCF of 8 and 52 =
  21. 21.HCF of 168 and 105 =
  22. 22.HCF of 48 and 80 =
  23. 23.HCF of 280 and 154 =
  24. 24.HCF of 161 and 368 =
  25. 25.HCF of 65 and 156 =
  26. 26.HCF of 96 and 18 =
  27. 27.HCF of 60 and 190 =
  28. 28.HCF of 80 and 88 =
  29. 29.HCF of 200 and 140 =
  30. 30.HCF of 14 and 38 =
  31. 31.HCF of 49 and 112 =
  32. 32.HCF of 42 and 60 =
  33. 33.HCF of 195 and 150 =
  34. 34.HCF of 187 and 34 =
  35. 35.HCF of 128 and 304 =
  36. 36.HCF of 247 and 114 =
  37. 37.HCF of 88 and 33 =
  38. 38.HCF of 306 and 187 =
  39. 39.HCF of 121 and 110 =
  40. 40.HCF of 20 and 35 =

Answer key

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

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