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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 57 · 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 119 and 98 =
  2. 2.HCF of 27 and 36 =
  3. 3.HCF of 99 and 44 =
  4. 4.HCF of 247 and 304 =
  5. 5.HCF of 96 and 54 =
  6. 6.HCF of 304 and 112 =
  7. 7.HCF of 55 and 10 =
  8. 8.HCF of 24 and 16 =
  9. 9.HCF of 25 and 35 =
  10. 10.HCF of 110 and 154 =
  11. 11.HCF of 240 and 256 =
  12. 12.HCF of 66 and 18 =
  13. 13.HCF of 30 and 96 =
  14. 14.HCF of 35 and 45 =
  15. 15.HCF of 105 and 336 =
  16. 16.HCF of 44 and 36 =
  17. 17.HCF of 156 and 72 =
  18. 18.HCF of 63 and 117 =
  19. 19.HCF of 24 and 39 =
  20. 20.HCF of 105 and 270 =
  21. 21.HCF of 418 and 440 =
  22. 22.HCF of 132 and 156 =
  23. 23.HCF of 171 and 99 =
  24. 24.HCF of 140 and 320 =
  25. 25.HCF of 136 and 221 =
  26. 26.HCF of 187 and 85 =
  27. 27.HCF of 46 and 69 =
  28. 28.HCF of 10 and 36 =
  29. 29.HCF of 27 and 171 =
  30. 30.HCF of 18 and 39 =
  31. 31.HCF of 102 and 12 =
  32. 32.HCF of 340 and 80 =
  33. 33.HCF of 207 and 299 =
  34. 34.HCF of 330 and 286 =
  35. 35.HCF of 42 and 18 =
  36. 36.HCF of 147 and 420 =
  37. 37.HCF of 143 and 132 =
  38. 38.HCF of 176 and 66 =
  39. 39.HCF of 104 and 80 =
  40. 40.HCF of 460 and 437 =

Answer key

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

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