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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 721 · 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 200 and 125 =
  2. 2.HCF of 52 and 91 =
  3. 3.HCF of 18 and 84 =
  4. 4.HCF of 112 and 238 =
  5. 5.HCF of 189 and 273 =
  6. 6.HCF of 16 and 38 =
  7. 7.HCF of 24 and 28 =
  8. 8.HCF of 220 and 380 =
  9. 9.HCF of 40 and 22 =
  10. 10.HCF of 169 and 208 =
  11. 11.HCF of 400 and 125 =
  12. 12.HCF of 91 and 65 =
  13. 13.HCF of 55 and 88 =
  14. 14.HCF of 88 and 72 =
  15. 15.HCF of 110 and 90 =
  16. 16.HCF of 140 and 266 =
  17. 17.HCF of 187 and 119 =
  18. 18.HCF of 150 and 80 =
  19. 19.HCF of 475 and 75 =
  20. 20.HCF of 32 and 144 =
  21. 21.HCF of 34 and 119 =
  22. 22.HCF of 14 and 4 =
  23. 23.HCF of 12 and 102 =
  24. 24.HCF of 152 and 133 =
  25. 25.HCF of 98 and 140 =
  26. 26.HCF of 190 and 247 =
  27. 27.HCF of 340 and 40 =
  28. 28.HCF of 30 and 75 =
  29. 29.HCF of 115 and 92 =
  30. 30.HCF of 16 and 152 =
  31. 31.HCF of 6 and 32 =
  32. 32.HCF of 60 and 55 =
  33. 33.HCF of 143 and 65 =
  34. 34.HCF of 28 and 98 =
  35. 35.HCF of 45 and 6 =
  36. 36.HCF of 16 and 14 =
  37. 37.HCF of 286 and 44 =
  38. 38.HCF of 98 and 252 =
  39. 39.HCF of 180 and 54 =
  40. 40.HCF of 135 and 171 =

Answer key

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

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