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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 995 · 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 450 and 175 =
  2. 2.HCF of 85 and 20 =
  3. 3.HCF of 171 and 36 =
  4. 4.HCF of 55 and 99 =
  5. 5.HCF of 165 and 60 =
  6. 6.HCF of 15 and 10 =
  7. 7.HCF of 24 and 34 =
  8. 8.HCF of 475 and 75 =
  9. 9.HCF of 24 and 45 =
  10. 10.HCF of 30 and 225 =
  11. 11.HCF of 85 and 55 =
  12. 12.HCF of 135 and 36 =
  13. 13.HCF of 168 and 231 =
  14. 14.HCF of 325 and 275 =
  15. 15.HCF of 104 and 64 =
  16. 16.HCF of 189 and 231 =
  17. 17.HCF of 224 and 176 =
  18. 18.HCF of 60 and 65 =
  19. 19.HCF of 182 and 154 =
  20. 20.HCF of 45 and 150 =
  21. 21.HCF of 40 and 100 =
  22. 22.HCF of 95 and 304 =
  23. 23.HCF of 49 and 28 =
  24. 24.HCF of 125 and 325 =
  25. 25.HCF of 96 and 456 =
  26. 26.HCF of 306 and 119 =
  27. 27.HCF of 200 and 60 =
  28. 28.HCF of 154 and 352 =
  29. 29.HCF of 168 and 36 =
  30. 30.HCF of 144 and 312 =
  31. 31.HCF of 171 and 247 =
  32. 32.HCF of 91 and 35 =
  33. 33.HCF of 112 and 119 =
  34. 34.HCF of 76 and 60 =
  35. 35.HCF of 44 and 12 =
  36. 36.HCF of 300 and 175 =
  37. 37.HCF of 242 and 66 =
  38. 38.HCF of 162 and 234 =
  39. 39.HCF of 240 and 208 =
  40. 40.HCF of 160 and 56 =

Answer key

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

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