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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 893 · 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 72 and 456 =
  2. 2.HCF of 34 and 119 =
  3. 3.HCF of 255 and 300 =
  4. 4.HCF of 221 and 119 =
  5. 5.HCF of 99 and 27 =
  6. 6.HCF of 108 and 48 =
  7. 7.HCF of 102 and 78 =
  8. 8.HCF of 195 and 135 =
  9. 9.HCF of 90 and 114 =
  10. 10.HCF of 18 and 12 =
  11. 11.HCF of 40 and 136 =
  12. 12.HCF of 80 and 192 =
  13. 13.HCF of 120 and 78 =
  14. 14.HCF of 119 and 289 =
  15. 15.HCF of 192 and 304 =
  16. 16.HCF of 40 and 152 =
  17. 17.HCF of 70 and 42 =
  18. 18.HCF of 209 and 99 =
  19. 19.HCF of 176 and 144 =
  20. 20.HCF of 52 and 143 =
  21. 21.HCF of 105 and 165 =
  22. 22.HCF of 48 and 78 =
  23. 23.HCF of 36 and 28 =
  24. 24.HCF of 45 and 120 =
  25. 25.HCF of 144 and 171 =
  26. 26.HCF of 96 and 132 =
  27. 27.HCF of 42 and 35 =
  28. 28.HCF of 60 and 21 =
  29. 29.HCF of 225 and 195 =
  30. 30.HCF of 100 and 35 =
  31. 31.HCF of 242 and 132 =
  32. 32.HCF of 200 and 375 =
  33. 33.HCF of 92 and 207 =
  34. 34.HCF of 195 and 180 =
  35. 35.HCF of 273 and 294 =
  36. 36.HCF of 70 and 133 =
  37. 37.HCF of 90 and 190 =
  38. 38.HCF of 72 and 234 =
  39. 39.HCF of 26 and 22 =
  40. 40.HCF of 340 and 80 =

Answer key

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

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