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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 839 · 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 54 and 342 =
  2. 2.HCF of 96 and 104 =
  3. 3.HCF of 357 and 168 =
  4. 4.HCF of 25 and 65 =
  5. 5.HCF of 65 and 104 =
  6. 6.HCF of 361 and 57 =
  7. 7.HCF of 33 and 60 =
  8. 8.HCF of 84 and 204 =
  9. 9.HCF of 380 and 200 =
  10. 10.HCF of 25 and 45 =
  11. 11.HCF of 54 and 171 =
  12. 12.HCF of 220 and 60 =
  13. 13.HCF of 175 and 50 =
  14. 14.HCF of 144 and 88 =
  15. 15.HCF of 350 and 475 =
  16. 16.HCF of 437 and 368 =
  17. 17.HCF of 288 and 234 =
  18. 18.HCF of 289 and 34 =
  19. 19.HCF of 27 and 42 =
  20. 20.HCF of 110 and 396 =
  21. 21.HCF of 126 and 35 =
  22. 22.HCF of 10 and 28 =
  23. 23.HCF of 360 and 380 =
  24. 24.HCF of 20 and 24 =
  25. 25.HCF of 18 and 34 =
  26. 26.HCF of 126 and 306 =
  27. 27.HCF of 224 and 272 =
  28. 28.HCF of 91 and 221 =
  29. 29.HCF of 57 and 380 =
  30. 30.HCF of 68 and 44 =
  31. 31.HCF of 44 and 28 =
  32. 32.HCF of 154 and 70 =
  33. 33.HCF of 154 and 84 =
  34. 34.HCF of 28 and 40 =
  35. 35.HCF of 315 and 84 =
  36. 36.HCF of 68 and 323 =
  37. 37.HCF of 153 and 54 =
  38. 38.HCF of 34 and 16 =
  39. 39.HCF of 95 and 247 =
  40. 40.HCF of 60 and 160 =

Answer key

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

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