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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 126 · 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 55 and 95 =
  2. 2.HCF of 84 and 315 =
  3. 3.HCF of 96 and 180 =
  4. 4.HCF of 88 and 16 =
  5. 5.HCF of 121 and 176 =
  6. 6.HCF of 85 and 102 =
  7. 7.HCF of 425 and 275 =
  8. 8.HCF of 20 and 24 =
  9. 9.HCF of 125 and 175 =
  10. 10.HCF of 50 and 45 =
  11. 11.HCF of 306 and 323 =
  12. 12.HCF of 34 and 40 =
  13. 13.HCF of 42 and 114 =
  14. 14.HCF of 42 and 54 =
  15. 15.HCF of 52 and 8 =
  16. 16.HCF of 98 and 105 =
  17. 17.HCF of 323 and 95 =
  18. 18.HCF of 28 and 35 =
  19. 19.HCF of 38 and 22 =
  20. 20.HCF of 102 and 85 =
  21. 21.HCF of 15 and 10 =
  22. 22.HCF of 12 and 18 =
  23. 23.HCF of 21 and 60 =
  24. 24.HCF of 50 and 55 =
  25. 25.HCF of 143 and 91 =
  26. 26.HCF of 208 and 272 =
  27. 27.HCF of 20 and 24 =
  28. 28.HCF of 72 and 96 =
  29. 29.HCF of 72 and 20 =
  30. 30.HCF of 95 and 55 =
  31. 31.HCF of 26 and 30 =
  32. 32.HCF of 57 and 51 =
  33. 33.HCF of 195 and 26 =
  34. 34.HCF of 48 and 45 =
  35. 35.HCF of 51 and 170 =
  36. 36.HCF of 21 and 28 =
  37. 37.HCF of 119 and 255 =
  38. 38.HCF of 500 and 75 =
  39. 39.HCF of 126 and 324 =
  40. 40.HCF of 336 and 315 =

Answer key

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

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