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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 225 · 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 120 and 96 =
  2. 2.HCF of 140 and 42 =
  3. 3.HCF of 99 and 144 =
  4. 4.HCF of 119 and 323 =
  5. 5.HCF of 39 and 221 =
  6. 6.HCF of 323 and 190 =
  7. 7.HCF of 500 and 475 =
  8. 8.HCF of 14 and 36 =
  9. 9.HCF of 68 and 20 =
  10. 10.HCF of 95 and 25 =
  11. 11.HCF of 72 and 42 =
  12. 12.HCF of 60 and 55 =
  13. 13.HCF of 114 and 323 =
  14. 14.HCF of 340 and 200 =
  15. 15.HCF of 95 and 38 =
  16. 16.HCF of 51 and 54 =
  17. 17.HCF of 171 and 54 =
  18. 18.HCF of 21 and 15 =
  19. 19.HCF of 20 and 12 =
  20. 20.HCF of 153 and 187 =
  21. 21.HCF of 42 and 51 =
  22. 22.HCF of 119 and 14 =
  23. 23.HCF of 238 and 42 =
  24. 24.HCF of 95 and 133 =
  25. 25.HCF of 21 and 33 =
  26. 26.HCF of 40 and 260 =
  27. 27.HCF of 16 and 20 =
  28. 28.HCF of 165 and 187 =
  29. 29.HCF of 114 and 120 =
  30. 30.HCF of 21 and 133 =
  31. 31.HCF of 375 and 100 =
  32. 32.HCF of 121 and 220 =
  33. 33.HCF of 16 and 152 =
  34. 34.HCF of 374 and 88 =
  35. 35.HCF of 117 and 208 =
  36. 36.HCF of 91 and 42 =
  37. 37.HCF of 78 and 114 =
  38. 38.HCF of 51 and 15 =
  39. 39.HCF of 180 and 200 =
  40. 40.HCF of 304 and 112 =

Answer key

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

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