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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 583 · 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 32 and 176 =
  2. 2.HCF of 450 and 275 =
  3. 3.HCF of 48 and 60 =
  4. 4.HCF of 126 and 342 =
  5. 5.HCF of 75 and 180 =
  6. 6.HCF of 36 and 135 =
  7. 7.HCF of 144 and 228 =
  8. 8.HCF of 65 and 104 =
  9. 9.HCF of 10 and 35 =
  10. 10.HCF of 100 and 280 =
  11. 11.HCF of 10 and 14 =
  12. 12.HCF of 48 and 312 =
  13. 13.HCF of 384 and 408 =
  14. 14.HCF of 240 and 208 =
  15. 15.HCF of 270 and 75 =
  16. 16.HCF of 180 and 50 =
  17. 17.HCF of 102 and 84 =
  18. 18.HCF of 92 and 345 =
  19. 19.HCF of 143 and 26 =
  20. 20.HCF of 36 and 52 =
  21. 21.HCF of 38 and 40 =
  22. 22.HCF of 57 and 133 =
  23. 23.HCF of 240 and 228 =
  24. 24.HCF of 154 and 70 =
  25. 25.HCF of 42 and 133 =
  26. 26.HCF of 6 and 38 =
  27. 27.HCF of 240 and 100 =
  28. 28.HCF of 220 and 400 =
  29. 29.HCF of 91 and 65 =
  30. 30.HCF of 125 and 350 =
  31. 31.HCF of 275 and 300 =
  32. 32.HCF of 161 and 276 =
  33. 33.HCF of 276 and 161 =
  34. 34.HCF of 40 and 55 =
  35. 35.HCF of 374 and 198 =
  36. 36.HCF of 18 and 30 =
  37. 37.HCF of 234 and 221 =
  38. 38.HCF of 304 and 320 =
  39. 39.HCF of 234 and 143 =
  40. 40.HCF of 54 and 90 =

Answer key

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

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