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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 974 · 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 104 and 56 =
  2. 2.HCF of 110 and 180 =
  3. 3.HCF of 133 and 114 =
  4. 4.HCF of 44 and 33 =
  5. 5.HCF of 72 and 128 =
  6. 6.HCF of 26 and 12 =
  7. 7.HCF of 85 and 50 =
  8. 8.HCF of 16 and 10 =
  9. 9.HCF of 270 and 342 =
  10. 10.HCF of 192 and 304 =
  11. 11.HCF of 234 and 247 =
  12. 12.HCF of 361 and 266 =
  13. 13.HCF of 182 and 221 =
  14. 14.HCF of 357 and 252 =
  15. 15.HCF of 70 and 25 =
  16. 16.HCF of 110 and 150 =
  17. 17.HCF of 165 and 176 =
  18. 18.HCF of 21 and 36 =
  19. 19.HCF of 126 and 171 =
  20. 20.HCF of 77 and 119 =
  21. 21.HCF of 247 and 234 =
  22. 22.HCF of 187 and 66 =
  23. 23.HCF of 75 and 285 =
  24. 24.HCF of 285 and 266 =
  25. 25.HCF of 95 and 65 =
  26. 26.HCF of 22 and 14 =
  27. 27.HCF of 76 and 32 =
  28. 28.HCF of 361 and 57 =
  29. 29.HCF of 135 and 105 =
  30. 30.HCF of 270 and 342 =
  31. 31.HCF of 220 and 80 =
  32. 32.HCF of 121 and 55 =
  33. 33.HCF of 35 and 28 =
  34. 34.HCF of 225 and 240 =
  35. 35.HCF of 76 and 60 =
  36. 36.HCF of 76 and 12 =
  37. 37.HCF of 208 and 96 =
  38. 38.HCF of 144 and 306 =
  39. 39.HCF of 105 and 135 =
  40. 40.HCF of 170 and 323 =

Answer key

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

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