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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 800 · 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 32 and 112 =
  2. 2.HCF of 46 and 437 =
  3. 3.HCF of 56 and 16 =
  4. 4.HCF of 224 and 48 =
  5. 5.HCF of 78 and 30 =
  6. 6.HCF of 68 and 80 =
  7. 7.HCF of 105 and 252 =
  8. 8.HCF of 20 and 56 =
  9. 9.HCF of 144 and 54 =
  10. 10.HCF of 133 and 140 =
  11. 11.HCF of 360 and 342 =
  12. 12.HCF of 45 and 33 =
  13. 13.HCF of 66 and 78 =
  14. 14.HCF of 285 and 304 =
  15. 15.HCF of 60 and 24 =
  16. 16.HCF of 34 and 4 =
  17. 17.HCF of 456 and 432 =
  18. 18.HCF of 14 and 63 =
  19. 19.HCF of 98 and 238 =
  20. 20.HCF of 20 and 85 =
  21. 21.HCF of 345 and 391 =
  22. 22.HCF of 425 and 200 =
  23. 23.HCF of 357 and 189 =
  24. 24.HCF of 95 and 76 =
  25. 25.HCF of 210 and 165 =
  26. 26.HCF of 169 and 117 =
  27. 27.HCF of 15 and 33 =
  28. 28.HCF of 39 and 45 =
  29. 29.HCF of 91 and 133 =
  30. 30.HCF of 180 and 160 =
  31. 31.HCF of 255 and 60 =
  32. 32.HCF of 143 and 66 =
  33. 33.HCF of 195 and 135 =
  34. 34.HCF of 60 and 54 =
  35. 35.HCF of 91 and 56 =
  36. 36.HCF of 180 and 100 =
  37. 37.HCF of 75 and 65 =
  38. 38.HCF of 126 and 180 =
  39. 39.HCF of 154 and 132 =
  40. 40.HCF of 45 and 75 =

Answer key

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

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