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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 552 · 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 75 and 80 =
  2. 2.HCF of 275 and 325 =
  3. 3.HCF of 285 and 180 =
  4. 4.HCF of 16 and 26 =
  5. 5.HCF of 104 and 80 =
  6. 6.HCF of 80 and 75 =
  7. 7.HCF of 36 and 22 =
  8. 8.HCF of 352 and 198 =
  9. 9.HCF of 90 and 42 =
  10. 10.HCF of 133 and 105 =
  11. 11.HCF of 119 and 102 =
  12. 12.HCF of 72 and 96 =
  13. 13.HCF of 152 and 133 =
  14. 14.HCF of 299 and 115 =
  15. 15.HCF of 128 and 272 =
  16. 16.HCF of 102 and 85 =
  17. 17.HCF of 165 and 180 =
  18. 18.HCF of 216 and 312 =
  19. 19.HCF of 360 and 48 =
  20. 20.HCF of 55 and 132 =
  21. 21.HCF of 42 and 108 =
  22. 22.HCF of 231 and 294 =
  23. 23.HCF of 68 and 60 =
  24. 24.HCF of 22 and 12 =
  25. 25.HCF of 33 and 110 =
  26. 26.HCF of 240 and 45 =
  27. 27.HCF of 64 and 36 =
  28. 28.HCF of 63 and 77 =
  29. 29.HCF of 286 and 220 =
  30. 30.HCF of 77 and 14 =
  31. 31.HCF of 66 and 108 =
  32. 32.HCF of 147 and 42 =
  33. 33.HCF of 161 and 437 =
  34. 34.HCF of 100 and 220 =
  35. 35.HCF of 18 and 102 =
  36. 36.HCF of 126 and 112 =
  37. 37.HCF of 147 and 84 =
  38. 38.HCF of 154 and 352 =
  39. 39.HCF of 209 and 38 =
  40. 40.HCF of 54 and 234 =

Answer key

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

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