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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 223 · 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 336 and 456 =
  2. 2.HCF of 24 and 156 =
  3. 3.HCF of 156 and 84 =
  4. 4.HCF of 195 and 210 =
  5. 5.HCF of 64 and 112 =
  6. 6.HCF of 330 and 176 =
  7. 7.HCF of 238 and 98 =
  8. 8.HCF of 102 and 30 =
  9. 9.HCF of 85 and 80 =
  10. 10.HCF of 66 and 114 =
  11. 11.HCF of 119 and 289 =
  12. 12.HCF of 325 and 200 =
  13. 13.HCF of 42 and 51 =
  14. 14.HCF of 209 and 33 =
  15. 15.HCF of 40 and 14 =
  16. 16.HCF of 121 and 44 =
  17. 17.HCF of 225 and 350 =
  18. 18.HCF of 272 and 320 =
  19. 19.HCF of 154 and 330 =
  20. 20.HCF of 96 and 272 =
  21. 21.HCF of 75 and 20 =
  22. 22.HCF of 33 and 143 =
  23. 23.HCF of 42 and 133 =
  24. 24.HCF of 260 and 143 =
  25. 25.HCF of 34 and 16 =
  26. 26.HCF of 190 and 60 =
  27. 27.HCF of 150 and 140 =
  28. 28.HCF of 60 and 260 =
  29. 29.HCF of 84 and 77 =
  30. 30.HCF of 27 and 6 =
  31. 31.HCF of 450 and 175 =
  32. 32.HCF of 24 and 39 =
  33. 33.HCF of 120 and 130 =
  34. 34.HCF of 189 and 84 =
  35. 35.HCF of 147 and 378 =
  36. 36.HCF of 24 and 132 =
  37. 37.HCF of 30 and 114 =
  38. 38.HCF of 44 and 76 =
  39. 39.HCF of 168 and 231 =
  40. 40.HCF of 135 and 171 =

Answer key

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

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