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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 233 · 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 399 and 126 =
  2. 2.HCF of 108 and 78 =
  3. 3.HCF of 78 and 108 =
  4. 4.HCF of 72 and 135 =
  5. 5.HCF of 39 and 12 =
  6. 6.HCF of 40 and 88 =
  7. 7.HCF of 45 and 117 =
  8. 8.HCF of 168 and 192 =
  9. 9.HCF of 264 and 192 =
  10. 10.HCF of 80 and 112 =
  11. 11.HCF of 162 and 90 =
  12. 12.HCF of 200 and 275 =
  13. 13.HCF of 8 and 76 =
  14. 14.HCF of 80 and 272 =
  15. 15.HCF of 42 and 90 =
  16. 16.HCF of 44 and 80 =
  17. 17.HCF of 54 and 126 =
  18. 18.HCF of 253 and 276 =
  19. 19.HCF of 28 and 60 =
  20. 20.HCF of 64 and 144 =
  21. 21.HCF of 275 and 375 =
  22. 22.HCF of 273 and 84 =
  23. 23.HCF of 26 and 32 =
  24. 24.HCF of 88 and 198 =
  25. 25.HCF of 102 and 30 =
  26. 26.HCF of 28 and 8 =
  27. 27.HCF of 15 and 24 =
  28. 28.HCF of 325 and 350 =
  29. 29.HCF of 36 and 24 =
  30. 30.HCF of 209 and 33 =
  31. 31.HCF of 325 and 400 =
  32. 32.HCF of 99 and 44 =
  33. 33.HCF of 120 and 220 =
  34. 34.HCF of 266 and 224 =
  35. 35.HCF of 57 and 190 =
  36. 36.HCF of 180 and 96 =
  37. 37.HCF of 16 and 26 =
  38. 38.HCF of 48 and 9 =
  39. 39.HCF of 117 and 135 =
  40. 40.HCF of 24 and 28 =

Answer key

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

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