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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 162 · 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 119 and 255 =
  2. 2.HCF of 30 and 27 =
  3. 3.HCF of 8 and 12 =
  4. 4.HCF of 60 and 33 =
  5. 5.HCF of 225 and 60 =
  6. 6.HCF of 55 and 22 =
  7. 7.HCF of 380 and 220 =
  8. 8.HCF of 130 and 150 =
  9. 9.HCF of 228 and 361 =
  10. 10.HCF of 221 and 78 =
  11. 11.HCF of 272 and 187 =
  12. 12.HCF of 99 and 90 =
  13. 13.HCF of 102 and 48 =
  14. 14.HCF of 64 and 24 =
  15. 15.HCF of 51 and 18 =
  16. 16.HCF of 24 and 76 =
  17. 17.HCF of 12 and 51 =
  18. 18.HCF of 192 and 120 =
  19. 19.HCF of 70 and 112 =
  20. 20.HCF of 42 and 49 =
  21. 21.HCF of 66 and 24 =
  22. 22.HCF of 253 and 92 =
  23. 23.HCF of 270 and 72 =
  24. 24.HCF of 330 and 352 =
  25. 25.HCF of 56 and 105 =
  26. 26.HCF of 78 and 120 =
  27. 27.HCF of 168 and 72 =
  28. 28.HCF of 105 and 28 =
  29. 29.HCF of 117 and 260 =
  30. 30.HCF of 76 and 57 =
  31. 31.HCF of 85 and 221 =
  32. 32.HCF of 88 and 198 =
  33. 33.HCF of 76 and 57 =
  34. 34.HCF of 154 and 182 =
  35. 35.HCF of 92 and 115 =
  36. 36.HCF of 255 and 240 =
  37. 37.HCF of 126 and 238 =
  38. 38.HCF of 84 and 231 =
  39. 39.HCF of 105 and 49 =
  40. 40.HCF of 54 and 66 =

Answer key

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

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