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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 53 · 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 15 and 24 =
  2. 2.HCF of 160 and 110 =
  3. 3.HCF of 96 and 40 =
  4. 4.HCF of 9 and 51 =
  5. 5.HCF of 231 and 105 =
  6. 6.HCF of 70 and 55 =
  7. 7.HCF of 399 and 315 =
  8. 8.HCF of 45 and 40 =
  9. 9.HCF of 25 and 15 =
  10. 10.HCF of 20 and 45 =
  11. 11.HCF of 16 and 24 =
  12. 12.HCF of 15 and 35 =
  13. 13.HCF of 36 and 56 =
  14. 14.HCF of 14 and 24 =
  15. 15.HCF of 24 and 10 =
  16. 16.HCF of 35 and 90 =
  17. 17.HCF of 36 and 78 =
  18. 18.HCF of 80 and 256 =
  19. 19.HCF of 48 and 102 =
  20. 20.HCF of 168 and 408 =
  21. 21.HCF of 147 and 126 =
  22. 22.HCF of 12 and 64 =
  23. 23.HCF of 280 and 60 =
  24. 24.HCF of 66 and 48 =
  25. 25.HCF of 80 and 100 =
  26. 26.HCF of 225 and 50 =
  27. 27.HCF of 200 and 75 =
  28. 28.HCF of 66 and 176 =
  29. 29.HCF of 231 and 84 =
  30. 30.HCF of 36 and 32 =
  31. 31.HCF of 40 and 45 =
  32. 32.HCF of 64 and 76 =
  33. 33.HCF of 30 and 39 =
  34. 34.HCF of 90 and 36 =
  35. 35.HCF of 312 and 96 =
  36. 36.HCF of 150 and 475 =
  37. 37.HCF of 112 and 63 =
  38. 38.HCF of 391 and 460 =
  39. 39.HCF of 144 and 99 =
  40. 40.HCF of 425 and 175 =

Answer key

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

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