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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 825 · 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 192 and 216 =
  2. 2.HCF of 143 and 66 =
  3. 3.HCF of 437 and 414 =
  4. 4.HCF of 234 and 270 =
  5. 5.HCF of 30 and 84 =
  6. 6.HCF of 187 and 66 =
  7. 7.HCF of 220 and 380 =
  8. 8.HCF of 104 and 32 =
  9. 9.HCF of 135 and 144 =
  10. 10.HCF of 85 and 65 =
  11. 11.HCF of 51 and 18 =
  12. 12.HCF of 34 and 36 =
  13. 13.HCF of 104 and 72 =
  14. 14.HCF of 84 and 216 =
  15. 15.HCF of 143 and 99 =
  16. 16.HCF of 64 and 88 =
  17. 17.HCF of 60 and 228 =
  18. 18.HCF of 33 and 88 =
  19. 19.HCF of 378 and 357 =
  20. 20.HCF of 36 and 60 =
  21. 21.HCF of 408 and 336 =
  22. 22.HCF of 6 and 57 =
  23. 23.HCF of 216 and 90 =
  24. 24.HCF of 221 and 289 =
  25. 25.HCF of 108 and 204 =
  26. 26.HCF of 110 and 50 =
  27. 27.HCF of 75 and 275 =
  28. 28.HCF of 192 and 312 =
  29. 29.HCF of 35 and 75 =
  30. 30.HCF of 98 and 21 =
  31. 31.HCF of 57 and 24 =
  32. 32.HCF of 15 and 33 =
  33. 33.HCF of 247 and 26 =
  34. 34.HCF of 132 and 286 =
  35. 35.HCF of 66 and 54 =
  36. 36.HCF of 234 and 324 =
  37. 37.HCF of 336 and 399 =
  38. 38.HCF of 75 and 95 =
  39. 39.HCF of 140 and 77 =
  40. 40.HCF of 275 and 100 =

Answer key

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

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