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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 332 · 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 128 =
  2. 2.HCF of 33 and 15 =
  3. 3.HCF of 63 and 117 =
  4. 4.HCF of 51 and 18 =
  5. 5.HCF of 92 and 207 =
  6. 6.HCF of 198 and 252 =
  7. 7.HCF of 120 and 195 =
  8. 8.HCF of 255 and 272 =
  9. 9.HCF of 345 and 46 =
  10. 10.HCF of 180 and 190 =
  11. 11.HCF of 34 and 51 =
  12. 12.HCF of 175 and 450 =
  13. 13.HCF of 119 and 306 =
  14. 14.HCF of 76 and 209 =
  15. 15.HCF of 72 and 384 =
  16. 16.HCF of 60 and 200 =
  17. 17.HCF of 30 and 85 =
  18. 18.HCF of 135 and 36 =
  19. 19.HCF of 162 and 198 =
  20. 20.HCF of 54 and 36 =
  21. 21.HCF of 24 and 64 =
  22. 22.HCF of 70 and 112 =
  23. 23.HCF of 57 and 42 =
  24. 24.HCF of 323 and 289 =
  25. 25.HCF of 96 and 42 =
  26. 26.HCF of 115 and 207 =
  27. 27.HCF of 114 and 24 =
  28. 28.HCF of 133 and 49 =
  29. 29.HCF of 255 and 120 =
  30. 30.HCF of 475 and 175 =
  31. 31.HCF of 357 and 147 =
  32. 32.HCF of 120 and 190 =
  33. 33.HCF of 154 and 132 =
  34. 34.HCF of 180 and 70 =
  35. 35.HCF of 98 and 56 =
  36. 36.HCF of 54 and 144 =
  37. 37.HCF of 168 and 63 =
  38. 38.HCF of 500 and 275 =
  39. 39.HCF of 91 and 28 =
  40. 40.HCF of 14 and 18 =

Answer key

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

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