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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 815 · 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 320 and 300 =
  2. 2.HCF of 50 and 60 =
  3. 3.HCF of 16 and 10 =
  4. 4.HCF of 15 and 33 =
  5. 5.HCF of 312 and 480 =
  6. 6.HCF of 408 and 216 =
  7. 7.HCF of 44 and 28 =
  8. 8.HCF of 45 and 153 =
  9. 9.HCF of 6 and 16 =
  10. 10.HCF of 110 and 33 =
  11. 11.HCF of 90 and 105 =
  12. 12.HCF of 40 and 44 =
  13. 13.HCF of 68 and 24 =
  14. 14.HCF of 84 and 180 =
  15. 15.HCF of 289 and 68 =
  16. 16.HCF of 156 and 216 =
  17. 17.HCF of 34 and 22 =
  18. 18.HCF of 154 and 176 =
  19. 19.HCF of 40 and 130 =
  20. 20.HCF of 21 and 12 =
  21. 21.HCF of 128 and 104 =
  22. 22.HCF of 285 and 361 =
  23. 23.HCF of 300 and 40 =
  24. 24.HCF of 60 and 72 =
  25. 25.HCF of 42 and 24 =
  26. 26.HCF of 90 and 170 =
  27. 27.HCF of 18 and 33 =
  28. 28.HCF of 15 and 39 =
  29. 29.HCF of 253 and 368 =
  30. 30.HCF of 49 and 42 =
  31. 31.HCF of 247 and 234 =
  32. 32.HCF of 65 and 104 =
  33. 33.HCF of 168 and 240 =
  34. 34.HCF of 33 and 36 =
  35. 35.HCF of 168 and 432 =
  36. 36.HCF of 160 and 300 =
  37. 37.HCF of 336 and 399 =
  38. 38.HCF of 40 and 50 =
  39. 39.HCF of 108 and 153 =
  40. 40.HCF of 315 and 273 =

Answer key

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

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