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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 39 · 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 56 and 88 =
  2. 2.HCF of 304 and 112 =
  3. 3.HCF of 63 and 294 =
  4. 4.HCF of 266 and 252 =
  5. 5.HCF of 40 and 190 =
  6. 6.HCF of 152 and 80 =
  7. 7.HCF of 30 and 26 =
  8. 8.HCF of 208 and 48 =
  9. 9.HCF of 6 and 21 =
  10. 10.HCF of 99 and 54 =
  11. 11.HCF of 12 and 78 =
  12. 12.HCF of 91 and 126 =
  13. 13.HCF of 240 and 75 =
  14. 14.HCF of 48 and 64 =
  15. 15.HCF of 55 and 10 =
  16. 16.HCF of 77 and 14 =
  17. 17.HCF of 176 and 112 =
  18. 18.HCF of 30 and 200 =
  19. 19.HCF of 32 and 88 =
  20. 20.HCF of 16 and 22 =
  21. 21.HCF of 48 and 456 =
  22. 22.HCF of 247 and 143 =
  23. 23.HCF of 54 and 36 =
  24. 24.HCF of 285 and 209 =
  25. 25.HCF of 437 and 253 =
  26. 26.HCF of 27 and 72 =
  27. 27.HCF of 72 and 342 =
  28. 28.HCF of 72 and 152 =
  29. 29.HCF of 360 and 312 =
  30. 30.HCF of 68 and 187 =
  31. 31.HCF of 27 and 15 =
  32. 32.HCF of 25 and 10 =
  33. 33.HCF of 361 and 380 =
  34. 34.HCF of 39 and 15 =
  35. 35.HCF of 40 and 75 =
  36. 36.HCF of 28 and 80 =
  37. 37.HCF of 57 and 30 =
  38. 38.HCF of 78 and 221 =
  39. 39.HCF of 44 and 60 =
  40. 40.HCF of 21 and 35 =

Answer key

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

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