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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 886 · 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 72 and 342 =
  2. 2.HCF of 255 and 75 =
  3. 3.HCF of 76 and 12 =
  4. 4.HCF of 272 and 256 =
  5. 5.HCF of 209 and 38 =
  6. 6.HCF of 170 and 153 =
  7. 7.HCF of 140 and 260 =
  8. 8.HCF of 24 and 152 =
  9. 9.HCF of 51 and 39 =
  10. 10.HCF of 40 and 28 =
  11. 11.HCF of 110 and 187 =
  12. 12.HCF of 32 and 136 =
  13. 13.HCF of 60 and 66 =
  14. 14.HCF of 130 and 80 =
  15. 15.HCF of 24 and 114 =
  16. 16.HCF of 256 and 208 =
  17. 17.HCF of 78 and 108 =
  18. 18.HCF of 44 and 28 =
  19. 19.HCF of 144 and 234 =
  20. 20.HCF of 247 and 91 =
  21. 21.HCF of 200 and 60 =
  22. 22.HCF of 60 and 24 =
  23. 23.HCF of 200 and 30 =
  24. 24.HCF of 147 and 399 =
  25. 25.HCF of 190 and 323 =
  26. 26.HCF of 300 and 280 =
  27. 27.HCF of 85 and 221 =
  28. 28.HCF of 32 and 144 =
  29. 29.HCF of 288 and 198 =
  30. 30.HCF of 21 and 39 =
  31. 31.HCF of 35 and 25 =
  32. 32.HCF of 91 and 78 =
  33. 33.HCF of 153 and 117 =
  34. 34.HCF of 60 and 51 =
  35. 35.HCF of 114 and 36 =
  36. 36.HCF of 65 and 30 =
  37. 37.HCF of 66 and 77 =
  38. 38.HCF of 170 and 160 =
  39. 39.HCF of 162 and 99 =
  40. 40.HCF of 66 and 209 =

Answer key

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

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