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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 420 · 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 154 and 143 =
  2. 2.HCF of 189 and 294 =
  3. 3.HCF of 4 and 14 =
  4. 4.HCF of 24 and 54 =
  5. 5.HCF of 52 and 65 =
  6. 6.HCF of 270 and 306 =
  7. 7.HCF of 64 and 36 =
  8. 8.HCF of 84 and 63 =
  9. 9.HCF of 187 and 176 =
  10. 10.HCF of 187 and 221 =
  11. 11.HCF of 72 and 120 =
  12. 12.HCF of 60 and 72 =
  13. 13.HCF of 65 and 80 =
  14. 14.HCF of 320 and 144 =
  15. 15.HCF of 76 and 16 =
  16. 16.HCF of 170 and 110 =
  17. 17.HCF of 391 and 92 =
  18. 18.HCF of 272 and 304 =
  19. 19.HCF of 38 and 24 =
  20. 20.HCF of 69 and 368 =
  21. 21.HCF of 240 and 264 =
  22. 22.HCF of 33 and 209 =
  23. 23.HCF of 90 and 27 =
  24. 24.HCF of 399 and 147 =
  25. 25.HCF of 56 and 70 =
  26. 26.HCF of 99 and 162 =
  27. 27.HCF of 289 and 51 =
  28. 28.HCF of 36 and 84 =
  29. 29.HCF of 224 and 48 =
  30. 30.HCF of 96 and 18 =
  31. 31.HCF of 20 and 36 =
  32. 32.HCF of 198 and 286 =
  33. 33.HCF of 24 and 76 =
  34. 34.HCF of 95 and 55 =
  35. 35.HCF of 72 and 114 =
  36. 36.HCF of 27 and 36 =
  37. 37.HCF of 68 and 44 =
  38. 38.HCF of 437 and 299 =
  39. 39.HCF of 168 and 180 =
  40. 40.HCF of 204 and 228 =

Answer key

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

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