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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 497 · 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 54 and 21 =
  2. 2.HCF of 20 and 50 =
  3. 3.HCF of 90 and 342 =
  4. 4.HCF of 125 and 50 =
  5. 5.HCF of 128 and 152 =
  6. 6.HCF of 32 and 76 =
  7. 7.HCF of 119 and 85 =
  8. 8.HCF of 10 and 45 =
  9. 9.HCF of 10 and 16 =
  10. 10.HCF of 255 and 221 =
  11. 11.HCF of 60 and 255 =
  12. 12.HCF of 272 and 240 =
  13. 13.HCF of 45 and 57 =
  14. 14.HCF of 24 and 28 =
  15. 15.HCF of 14 and 133 =
  16. 16.HCF of 136 and 16 =
  17. 17.HCF of 22 and 18 =
  18. 18.HCF of 112 and 63 =
  19. 19.HCF of 238 and 221 =
  20. 20.HCF of 52 and 48 =
  21. 21.HCF of 374 and 264 =
  22. 22.HCF of 182 and 196 =
  23. 23.HCF of 153 and 54 =
  24. 24.HCF of 273 and 84 =
  25. 25.HCF of 78 and 102 =
  26. 26.HCF of 231 and 42 =
  27. 27.HCF of 52 and 64 =
  28. 28.HCF of 108 and 192 =
  29. 29.HCF of 320 and 380 =
  30. 30.HCF of 256 and 240 =
  31. 31.HCF of 168 and 105 =
  32. 32.HCF of 51 and 221 =
  33. 33.HCF of 196 and 42 =
  34. 34.HCF of 80 and 96 =
  35. 35.HCF of 140 and 21 =
  36. 36.HCF of 57 and 152 =
  37. 37.HCF of 80 and 110 =
  38. 38.HCF of 12 and 102 =
  39. 39.HCF of 252 and 154 =
  40. 40.HCF of 27 and 21 =

Answer key

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

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