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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 861 · 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 60 =
  2. 2.HCF of 54 and 252 =
  3. 3.HCF of 77 and 99 =
  4. 4.HCF of 21 and 49 =
  5. 5.HCF of 39 and 45 =
  6. 6.HCF of 288 and 126 =
  7. 7.HCF of 475 and 250 =
  8. 8.HCF of 60 and 42 =
  9. 9.HCF of 69 and 368 =
  10. 10.HCF of 35 and 60 =
  11. 11.HCF of 56 and 70 =
  12. 12.HCF of 275 and 300 =
  13. 13.HCF of 54 and 102 =
  14. 14.HCF of 48 and 272 =
  15. 15.HCF of 30 and 33 =
  16. 16.HCF of 77 and 187 =
  17. 17.HCF of 27 and 48 =
  18. 18.HCF of 120 and 456 =
  19. 19.HCF of 85 and 153 =
  20. 20.HCF of 342 and 90 =
  21. 21.HCF of 228 and 133 =
  22. 22.HCF of 154 and 440 =
  23. 23.HCF of 34 and 10 =
  24. 24.HCF of 49 and 70 =
  25. 25.HCF of 247 and 117 =
  26. 26.HCF of 32 and 38 =
  27. 27.HCF of 361 and 171 =
  28. 28.HCF of 30 and 9 =
  29. 29.HCF of 250 and 325 =
  30. 30.HCF of 140 and 154 =
  31. 31.HCF of 96 and 66 =
  32. 32.HCF of 15 and 12 =
  33. 33.HCF of 180 and 198 =
  34. 34.HCF of 96 and 60 =
  35. 35.HCF of 60 and 225 =
  36. 36.HCF of 10 and 16 =
  37. 37.HCF of 228 and 209 =
  38. 38.HCF of 391 and 322 =
  39. 39.HCF of 130 and 20 =
  40. 40.HCF of 128 and 72 =

Answer key

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

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