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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 939 · 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 320 and 176 =
  2. 2.HCF of 112 and 35 =
  3. 3.HCF of 99 and 27 =
  4. 4.HCF of 54 and 15 =
  5. 5.HCF of 98 and 105 =
  6. 6.HCF of 170 and 289 =
  7. 7.HCF of 26 and 247 =
  8. 8.HCF of 165 and 150 =
  9. 9.HCF of 96 and 18 =
  10. 10.HCF of 286 and 440 =
  11. 11.HCF of 380 and 260 =
  12. 12.HCF of 432 and 312 =
  13. 13.HCF of 21 and 56 =
  14. 14.HCF of 252 and 273 =
  15. 15.HCF of 68 and 28 =
  16. 16.HCF of 312 and 408 =
  17. 17.HCF of 26 and 30 =
  18. 18.HCF of 50 and 225 =
  19. 19.HCF of 44 and 40 =
  20. 20.HCF of 240 and 340 =
  21. 21.HCF of 168 and 189 =
  22. 22.HCF of 60 and 96 =
  23. 23.HCF of 147 and 126 =
  24. 24.HCF of 144 and 54 =
  25. 25.HCF of 133 and 49 =
  26. 26.HCF of 143 and 77 =
  27. 27.HCF of 175 and 100 =
  28. 28.HCF of 55 and 90 =
  29. 29.HCF of 63 and 99 =
  30. 30.HCF of 56 and 133 =
  31. 31.HCF of 51 and 6 =
  32. 32.HCF of 360 and 220 =
  33. 33.HCF of 65 and 52 =
  34. 34.HCF of 75 and 240 =
  35. 35.HCF of 50 and 90 =
  36. 36.HCF of 171 and 133 =
  37. 37.HCF of 24 and 76 =
  38. 38.HCF of 57 and 361 =
  39. 39.HCF of 125 and 425 =
  40. 40.HCF of 100 and 475 =

Answer key

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

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