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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 276 · 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 18 and 66 =
  2. 2.HCF of 299 and 207 =
  3. 3.HCF of 180 and 100 =
  4. 4.HCF of 380 and 200 =
  5. 5.HCF of 210 and 357 =
  6. 6.HCF of 54 and 78 =
  7. 7.HCF of 198 and 324 =
  8. 8.HCF of 48 and 28 =
  9. 9.HCF of 184 and 345 =
  10. 10.HCF of 50 and 160 =
  11. 11.HCF of 55 and 90 =
  12. 12.HCF of 96 and 54 =
  13. 13.HCF of 14 and 38 =
  14. 14.HCF of 342 and 95 =
  15. 15.HCF of 14 and 38 =
  16. 16.HCF of 180 and 160 =
  17. 17.HCF of 380 and 240 =
  18. 18.HCF of 72 and 30 =
  19. 19.HCF of 132 and 168 =
  20. 20.HCF of 4 and 34 =
  21. 21.HCF of 24 and 54 =
  22. 22.HCF of 182 and 280 =
  23. 23.HCF of 342 and 288 =
  24. 24.HCF of 60 and 160 =
  25. 25.HCF of 4 and 26 =
  26. 26.HCF of 204 and 168 =
  27. 27.HCF of 266 and 210 =
  28. 28.HCF of 8 and 60 =
  29. 29.HCF of 36 and 15 =
  30. 30.HCF of 36 and 228 =
  31. 31.HCF of 30 and 38 =
  32. 32.HCF of 228 and 95 =
  33. 33.HCF of 361 and 190 =
  34. 34.HCF of 48 and 312 =
  35. 35.HCF of 285 and 361 =
  36. 36.HCF of 152 and 323 =
  37. 37.HCF of 342 and 36 =
  38. 38.HCF of 32 and 304 =
  39. 39.HCF of 126 and 70 =
  40. 40.HCF of 256 and 48 =

Answer key

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

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