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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 486 · 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 288 and 312 =
  2. 2.HCF of 336 and 408 =
  3. 3.HCF of 120 and 456 =
  4. 4.HCF of 36 and 102 =
  5. 5.HCF of 175 and 300 =
  6. 6.HCF of 299 and 138 =
  7. 7.HCF of 70 and 50 =
  8. 8.HCF of 119 and 14 =
  9. 9.HCF of 120 and 140 =
  10. 10.HCF of 180 and 285 =
  11. 11.HCF of 32 and 22 =
  12. 12.HCF of 140 and 119 =
  13. 13.HCF of 26 and 221 =
  14. 14.HCF of 16 and 30 =
  15. 15.HCF of 110 and 44 =
  16. 16.HCF of 119 and 77 =
  17. 17.HCF of 26 and 12 =
  18. 18.HCF of 95 and 304 =
  19. 19.HCF of 76 and 285 =
  20. 20.HCF of 165 and 154 =
  21. 21.HCF of 24 and 84 =
  22. 22.HCF of 27 and 15 =
  23. 23.HCF of 180 and 99 =
  24. 24.HCF of 325 and 375 =
  25. 25.HCF of 78 and 30 =
  26. 26.HCF of 24 and 16 =
  27. 27.HCF of 156 and 120 =
  28. 28.HCF of 368 and 299 =
  29. 29.HCF of 132 and 108 =
  30. 30.HCF of 98 and 84 =
  31. 31.HCF of 221 and 52 =
  32. 32.HCF of 140 and 320 =
  33. 33.HCF of 96 and 114 =
  34. 34.HCF of 14 and 16 =
  35. 35.HCF of 165 and 45 =
  36. 36.HCF of 306 and 324 =
  37. 37.HCF of 143 and 39 =
  38. 38.HCF of 51 and 221 =
  39. 39.HCF of 96 and 84 =
  40. 40.HCF of 50 and 160 =

Answer key

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

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