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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 540 · 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 85 and 51 =
  2. 2.HCF of 273 and 63 =
  3. 3.HCF of 144 and 63 =
  4. 4.HCF of 45 and 21 =
  5. 5.HCF of 16 and 26 =
  6. 6.HCF of 68 and 16 =
  7. 7.HCF of 140 and 320 =
  8. 8.HCF of 190 and 100 =
  9. 9.HCF of 27 and 6 =
  10. 10.HCF of 294 and 273 =
  11. 11.HCF of 114 and 247 =
  12. 12.HCF of 72 and 42 =
  13. 13.HCF of 35 and 55 =
  14. 14.HCF of 45 and 255 =
  15. 15.HCF of 225 and 240 =
  16. 16.HCF of 117 and 182 =
  17. 17.HCF of 48 and 456 =
  18. 18.HCF of 39 and 60 =
  19. 19.HCF of 56 and 91 =
  20. 20.HCF of 456 and 168 =
  21. 21.HCF of 8 and 18 =
  22. 22.HCF of 187 and 55 =
  23. 23.HCF of 143 and 121 =
  24. 24.HCF of 260 and 100 =
  25. 25.HCF of 52 and 16 =
  26. 26.HCF of 110 and 50 =
  27. 27.HCF of 400 and 340 =
  28. 28.HCF of 270 and 342 =
  29. 29.HCF of 357 and 84 =
  30. 30.HCF of 39 and 27 =
  31. 31.HCF of 36 and 234 =
  32. 32.HCF of 286 and 352 =
  33. 33.HCF of 475 and 300 =
  34. 34.HCF of 10 and 4 =
  35. 35.HCF of 234 and 144 =
  36. 36.HCF of 255 and 75 =
  37. 37.HCF of 120 and 195 =
  38. 38.HCF of 24 and 112 =
  39. 39.HCF of 210 and 45 =
  40. 40.HCF of 50 and 55 =

Answer key

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

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