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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 419 · 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 225 and 120 =
  2. 2.HCF of 231 and 168 =
  3. 3.HCF of 8 and 6 =
  4. 4.HCF of 39 and 12 =
  5. 5.HCF of 128 and 104 =
  6. 6.HCF of 51 and 272 =
  7. 7.HCF of 240 and 380 =
  8. 8.HCF of 36 and 32 =
  9. 9.HCF of 64 and 304 =
  10. 10.HCF of 39 and 208 =
  11. 11.HCF of 342 and 36 =
  12. 12.HCF of 8 and 38 =
  13. 13.HCF of 90 and 81 =
  14. 14.HCF of 323 and 171 =
  15. 15.HCF of 342 and 95 =
  16. 16.HCF of 273 and 210 =
  17. 17.HCF of 60 and 64 =
  18. 18.HCF of 90 and 50 =
  19. 19.HCF of 32 and 28 =
  20. 20.HCF of 10 and 25 =
  21. 21.HCF of 30 and 48 =
  22. 22.HCF of 143 and 182 =
  23. 23.HCF of 110 and 180 =
  24. 24.HCF of 128 and 104 =
  25. 25.HCF of 72 and 342 =
  26. 26.HCF of 272 and 289 =
  27. 27.HCF of 10 and 35 =
  28. 28.HCF of 208 and 48 =
  29. 29.HCF of 108 and 153 =
  30. 30.HCF of 72 and 20 =
  31. 31.HCF of 28 and 26 =
  32. 32.HCF of 126 and 266 =
  33. 33.HCF of 361 and 266 =
  34. 34.HCF of 176 and 154 =
  35. 35.HCF of 10 and 95 =
  36. 36.HCF of 285 and 133 =
  37. 37.HCF of 48 and 40 =
  38. 38.HCF of 104 and 48 =
  39. 39.HCF of 187 and 119 =
  40. 40.HCF of 117 and 108 =

Answer key

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

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