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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 306 · 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 20 and 30 =
  2. 2.HCF of 342 and 162 =
  3. 3.HCF of 126 and 112 =
  4. 4.HCF of 110 and 80 =
  5. 5.HCF of 250 and 275 =
  6. 6.HCF of 50 and 60 =
  7. 7.HCF of 18 and 102 =
  8. 8.HCF of 315 and 231 =
  9. 9.HCF of 65 and 20 =
  10. 10.HCF of 190 and 171 =
  11. 11.HCF of 22 and 18 =
  12. 12.HCF of 42 and 15 =
  13. 13.HCF of 45 and 108 =
  14. 14.HCF of 357 and 210 =
  15. 15.HCF of 77 and 66 =
  16. 16.HCF of 384 and 312 =
  17. 17.HCF of 28 and 133 =
  18. 18.HCF of 60 and 168 =
  19. 19.HCF of 30 and 9 =
  20. 20.HCF of 20 and 34 =
  21. 21.HCF of 286 and 88 =
  22. 22.HCF of 126 and 27 =
  23. 23.HCF of 374 and 88 =
  24. 24.HCF of 96 and 152 =
  25. 25.HCF of 81 and 90 =
  26. 26.HCF of 84 and 30 =
  27. 27.HCF of 96 and 208 =
  28. 28.HCF of 75 and 325 =
  29. 29.HCF of 171 and 27 =
  30. 30.HCF of 187 and 68 =
  31. 31.HCF of 308 and 110 =
  32. 32.HCF of 95 and 361 =
  33. 33.HCF of 171 and 190 =
  34. 34.HCF of 76 and 8 =
  35. 35.HCF of 110 and 140 =
  36. 36.HCF of 110 and 200 =
  37. 37.HCF of 255 and 221 =
  38. 38.HCF of 60 and 204 =
  39. 39.HCF of 95 and 25 =
  40. 40.HCF of 91 and 52 =

Answer key

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

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