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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 905 · 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 117 and 81 =
  2. 2.HCF of 10 and 95 =
  3. 3.HCF of 36 and 198 =
  4. 4.HCF of 187 and 33 =
  5. 5.HCF of 115 and 391 =
  6. 6.HCF of 21 and 35 =
  7. 7.HCF of 66 and 220 =
  8. 8.HCF of 75 and 125 =
  9. 9.HCF of 140 and 260 =
  10. 10.HCF of 36 and 342 =
  11. 11.HCF of 105 and 42 =
  12. 12.HCF of 132 and 187 =
  13. 13.HCF of 16 and 104 =
  14. 14.HCF of 75 and 200 =
  15. 15.HCF of 195 and 225 =
  16. 16.HCF of 98 and 140 =
  17. 17.HCF of 375 and 100 =
  18. 18.HCF of 119 and 91 =
  19. 19.HCF of 22 and 77 =
  20. 20.HCF of 171 and 36 =
  21. 21.HCF of 143 and 169 =
  22. 22.HCF of 22 and 30 =
  23. 23.HCF of 18 and 96 =
  24. 24.HCF of 68 and 8 =
  25. 25.HCF of 39 and 9 =
  26. 26.HCF of 18 and 34 =
  27. 27.HCF of 114 and 102 =
  28. 28.HCF of 76 and 247 =
  29. 29.HCF of 27 and 60 =
  30. 30.HCF of 102 and 114 =
  31. 31.HCF of 54 and 306 =
  32. 32.HCF of 57 and 60 =
  33. 33.HCF of 270 and 165 =
  34. 34.HCF of 126 and 198 =
  35. 35.HCF of 33 and 48 =
  36. 36.HCF of 105 and 49 =
  37. 37.HCF of 54 and 63 =
  38. 38.HCF of 160 and 72 =
  39. 39.HCF of 22 and 36 =
  40. 40.HCF of 72 and 32 =

Answer key

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

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