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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 996 · 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 175 and 225 =
  2. 2.HCF of 144 and 112 =
  3. 3.HCF of 14 and 105 =
  4. 4.HCF of 55 and 176 =
  5. 5.HCF of 162 and 90 =
  6. 6.HCF of 289 and 153 =
  7. 7.HCF of 143 and 195 =
  8. 8.HCF of 300 and 125 =
  9. 9.HCF of 108 and 126 =
  10. 10.HCF of 136 and 221 =
  11. 11.HCF of 182 and 140 =
  12. 12.HCF of 51 and 33 =
  13. 13.HCF of 42 and 48 =
  14. 14.HCF of 120 and 260 =
  15. 15.HCF of 52 and 36 =
  16. 16.HCF of 221 and 65 =
  17. 17.HCF of 44 and 187 =
  18. 18.HCF of 14 and 22 =
  19. 19.HCF of 231 and 273 =
  20. 20.HCF of 320 and 100 =
  21. 21.HCF of 22 and 121 =
  22. 22.HCF of 64 and 80 =
  23. 23.HCF of 65 and 30 =
  24. 24.HCF of 133 and 28 =
  25. 25.HCF of 100 and 65 =
  26. 26.HCF of 187 and 340 =
  27. 27.HCF of 176 and 112 =
  28. 28.HCF of 132 and 154 =
  29. 29.HCF of 209 and 247 =
  30. 30.HCF of 264 and 168 =
  31. 31.HCF of 75 and 275 =
  32. 32.HCF of 70 and 77 =
  33. 33.HCF of 360 and 384 =
  34. 34.HCF of 95 and 75 =
  35. 35.HCF of 104 and 91 =
  36. 36.HCF of 38 and 16 =
  37. 37.HCF of 30 and 78 =
  38. 38.HCF of 91 and 126 =
  39. 39.HCF of 418 and 264 =
  40. 40.HCF of 44 and 48 =

Answer key

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

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