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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 81 · 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 80 and 144 =
  2. 2.HCF of 400 and 225 =
  3. 3.HCF of 50 and 180 =
  4. 4.HCF of 45 and 63 =
  5. 5.HCF of 120 and 336 =
  6. 6.HCF of 154 and 220 =
  7. 7.HCF of 304 and 224 =
  8. 8.HCF of 12 and 44 =
  9. 9.HCF of 153 and 90 =
  10. 10.HCF of 33 and 209 =
  11. 11.HCF of 240 and 75 =
  12. 12.HCF of 64 and 24 =
  13. 13.HCF of 168 and 60 =
  14. 14.HCF of 22 and 143 =
  15. 15.HCF of 198 and 374 =
  16. 16.HCF of 39 and 54 =
  17. 17.HCF of 46 and 299 =
  18. 18.HCF of 189 and 105 =
  19. 19.HCF of 132 and 72 =
  20. 20.HCF of 42 and 39 =
  21. 21.HCF of 304 and 320 =
  22. 22.HCF of 224 and 304 =
  23. 23.HCF of 90 and 85 =
  24. 24.HCF of 99 and 209 =
  25. 25.HCF of 65 and 85 =
  26. 26.HCF of 115 and 368 =
  27. 27.HCF of 207 and 92 =
  28. 28.HCF of 60 and 140 =
  29. 29.HCF of 66 and 77 =
  30. 30.HCF of 18 and 45 =
  31. 31.HCF of 374 and 220 =
  32. 32.HCF of 110 and 352 =
  33. 33.HCF of 60 and 340 =
  34. 34.HCF of 98 and 112 =
  35. 35.HCF of 98 and 84 =
  36. 36.HCF of 30 and 140 =
  37. 37.HCF of 90 and 100 =
  38. 38.HCF of 40 and 56 =
  39. 39.HCF of 15 and 18 =
  40. 40.HCF of 55 and 25 =

Answer key

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

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