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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 32 · 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 52 and 20 =
  2. 2.HCF of 42 and 280 =
  3. 3.HCF of 456 and 72 =
  4. 4.HCF of 220 and 260 =
  5. 5.HCF of 22 and 18 =
  6. 6.HCF of 77 and 35 =
  7. 7.HCF of 45 and 12 =
  8. 8.HCF of 132 and 121 =
  9. 9.HCF of 300 and 45 =
  10. 10.HCF of 24 and 68 =
  11. 11.HCF of 286 and 440 =
  12. 12.HCF of 18 and 34 =
  13. 13.HCF of 342 and 234 =
  14. 14.HCF of 36 and 30 =
  15. 15.HCF of 140 and 160 =
  16. 16.HCF of 147 and 315 =
  17. 17.HCF of 132 and 228 =
  18. 18.HCF of 16 and 136 =
  19. 19.HCF of 285 and 209 =
  20. 20.HCF of 84 and 105 =
  21. 21.HCF of 76 and 16 =
  22. 22.HCF of 136 and 64 =
  23. 23.HCF of 84 and 24 =
  24. 24.HCF of 110 and 209 =
  25. 25.HCF of 342 and 209 =
  26. 26.HCF of 35 and 85 =
  27. 27.HCF of 323 and 255 =
  28. 28.HCF of 69 and 230 =
  29. 29.HCF of 12 and 16 =
  30. 30.HCF of 85 and 40 =
  31. 31.HCF of 136 and 187 =
  32. 32.HCF of 42 and 35 =
  33. 33.HCF of 230 and 437 =
  34. 34.HCF of 88 and 330 =
  35. 35.HCF of 72 and 88 =
  36. 36.HCF of 36 and 28 =
  37. 37.HCF of 96 and 152 =
  38. 38.HCF of 242 and 88 =
  39. 39.HCF of 42 and 266 =
  40. 40.HCF of 36 and 15 =

Answer key

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

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