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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 949 · 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 68 =
  2. 2.HCF of 144 and 342 =
  3. 3.HCF of 66 and 72 =
  4. 4.HCF of 209 and 121 =
  5. 5.HCF of 104 and 16 =
  6. 6.HCF of 195 and 26 =
  7. 7.HCF of 30 and 40 =
  8. 8.HCF of 72 and 168 =
  9. 9.HCF of 255 and 323 =
  10. 10.HCF of 120 and 152 =
  11. 11.HCF of 143 and 77 =
  12. 12.HCF of 95 and 304 =
  13. 13.HCF of 12 and 56 =
  14. 14.HCF of 28 and 12 =
  15. 15.HCF of 161 and 368 =
  16. 16.HCF of 36 and 306 =
  17. 17.HCF of 80 and 90 =
  18. 18.HCF of 20 and 18 =
  19. 19.HCF of 352 and 154 =
  20. 20.HCF of 16 and 60 =
  21. 21.HCF of 242 and 286 =
  22. 22.HCF of 168 and 147 =
  23. 23.HCF of 165 and 187 =
  24. 24.HCF of 250 and 325 =
  25. 25.HCF of 225 and 475 =
  26. 26.HCF of 121 and 22 =
  27. 27.HCF of 182 and 65 =
  28. 28.HCF of 8 and 10 =
  29. 29.HCF of 391 and 299 =
  30. 30.HCF of 304 and 323 =
  31. 31.HCF of 75 and 255 =
  32. 32.HCF of 21 and 36 =
  33. 33.HCF of 175 and 100 =
  34. 34.HCF of 121 and 143 =
  35. 35.HCF of 102 and 72 =
  36. 36.HCF of 119 and 187 =
  37. 37.HCF of 10 and 22 =
  38. 38.HCF of 204 and 216 =
  39. 39.HCF of 408 and 120 =
  40. 40.HCF of 143 and 165 =

Answer key

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

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