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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 35 · 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 132 and 110 =
  2. 2.HCF of 66 and 42 =
  3. 3.HCF of 425 and 150 =
  4. 4.HCF of 440 and 286 =
  5. 5.HCF of 312 and 360 =
  6. 6.HCF of 299 and 460 =
  7. 7.HCF of 21 and 27 =
  8. 8.HCF of 247 and 38 =
  9. 9.HCF of 8 and 76 =
  10. 10.HCF of 75 and 165 =
  11. 11.HCF of 21 and 15 =
  12. 12.HCF of 77 and 198 =
  13. 13.HCF of 120 and 140 =
  14. 14.HCF of 110 and 187 =
  15. 15.HCF of 108 and 192 =
  16. 16.HCF of 45 and 171 =
  17. 17.HCF of 88 and 165 =
  18. 18.HCF of 77 and 21 =
  19. 19.HCF of 70 and 110 =
  20. 20.HCF of 70 and 30 =
  21. 21.HCF of 90 and 171 =
  22. 22.HCF of 114 and 18 =
  23. 23.HCF of 30 and 95 =
  24. 24.HCF of 100 and 140 =
  25. 25.HCF of 340 and 51 =
  26. 26.HCF of 88 and 56 =
  27. 27.HCF of 92 and 345 =
  28. 28.HCF of 49 and 119 =
  29. 29.HCF of 306 and 342 =
  30. 30.HCF of 204 and 119 =
  31. 31.HCF of 361 and 342 =
  32. 32.HCF of 336 and 189 =
  33. 33.HCF of 33 and 54 =
  34. 34.HCF of 68 and 64 =
  35. 35.HCF of 50 and 70 =
  36. 36.HCF of 48 and 44 =
  37. 37.HCF of 76 and 323 =
  38. 38.HCF of 84 and 216 =
  39. 39.HCF of 105 and 252 =
  40. 40.HCF of 126 and 147 =

Answer key

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

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