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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 114 · 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 380 and 280 =
  2. 2.HCF of 92 and 207 =
  3. 3.HCF of 78 and 18 =
  4. 4.HCF of 260 and 380 =
  5. 5.HCF of 96 and 54 =
  6. 6.HCF of 80 and 15 =
  7. 7.HCF of 90 and 66 =
  8. 8.HCF of 72 and 240 =
  9. 9.HCF of 70 and 133 =
  10. 10.HCF of 56 and 126 =
  11. 11.HCF of 91 and 260 =
  12. 12.HCF of 70 and 15 =
  13. 13.HCF of 120 and 380 =
  14. 14.HCF of 18 and 114 =
  15. 15.HCF of 24 and 30 =
  16. 16.HCF of 112 and 40 =
  17. 17.HCF of 168 and 70 =
  18. 18.HCF of 65 and 20 =
  19. 19.HCF of 63 and 27 =
  20. 20.HCF of 165 and 270 =
  21. 21.HCF of 361 and 209 =
  22. 22.HCF of 30 and 27 =
  23. 23.HCF of 15 and 20 =
  24. 24.HCF of 361 and 342 =
  25. 25.HCF of 9 and 21 =
  26. 26.HCF of 48 and 68 =
  27. 27.HCF of 25 and 35 =
  28. 28.HCF of 68 and 255 =
  29. 29.HCF of 28 and 44 =
  30. 30.HCF of 40 and 15 =
  31. 31.HCF of 272 and 64 =
  32. 32.HCF of 132 and 418 =
  33. 33.HCF of 85 and 221 =
  34. 34.HCF of 48 and 180 =
  35. 35.HCF of 76 and 171 =
  36. 36.HCF of 306 and 288 =
  37. 37.HCF of 72 and 20 =
  38. 38.HCF of 25 and 35 =
  39. 39.HCF of 276 and 253 =
  40. 40.HCF of 24 and 132 =

Answer key

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

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