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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 86 · 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 300 and 195 =
  2. 2.HCF of 252 and 54 =
  3. 3.HCF of 162 and 234 =
  4. 4.HCF of 44 and 64 =
  5. 5.HCF of 242 and 352 =
  6. 6.HCF of 12 and 40 =
  7. 7.HCF of 42 and 119 =
  8. 8.HCF of 255 and 45 =
  9. 9.HCF of 54 and 45 =
  10. 10.HCF of 120 and 220 =
  11. 11.HCF of 240 and 36 =
  12. 12.HCF of 169 and 143 =
  13. 13.HCF of 336 and 231 =
  14. 14.HCF of 152 and 96 =
  15. 15.HCF of 136 and 96 =
  16. 16.HCF of 96 and 108 =
  17. 17.HCF of 144 and 27 =
  18. 18.HCF of 63 and 27 =
  19. 19.HCF of 220 and 320 =
  20. 20.HCF of 294 and 63 =
  21. 21.HCF of 75 and 60 =
  22. 22.HCF of 21 and 45 =
  23. 23.HCF of 65 and 20 =
  24. 24.HCF of 65 and 50 =
  25. 25.HCF of 133 and 95 =
  26. 26.HCF of 34 and 4 =
  27. 27.HCF of 63 and 35 =
  28. 28.HCF of 85 and 323 =
  29. 29.HCF of 49 and 63 =
  30. 30.HCF of 323 and 102 =
  31. 31.HCF of 38 and 22 =
  32. 32.HCF of 294 and 189 =
  33. 33.HCF of 352 and 66 =
  34. 34.HCF of 14 and 49 =
  35. 35.HCF of 60 and 50 =
  36. 36.HCF of 50 and 325 =
  37. 37.HCF of 252 and 54 =
  38. 38.HCF of 270 and 75 =
  39. 39.HCF of 45 and 65 =
  40. 40.HCF of 306 and 85 =

Answer key

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

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