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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 590 · 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 252 and 266 =
  2. 2.HCF of 180 and 160 =
  3. 3.HCF of 144 and 162 =
  4. 4.HCF of 9 and 24 =
  5. 5.HCF of 85 and 55 =
  6. 6.HCF of 99 and 180 =
  7. 7.HCF of 49 and 28 =
  8. 8.HCF of 99 and 154 =
  9. 9.HCF of 238 and 221 =
  10. 10.HCF of 126 and 153 =
  11. 11.HCF of 286 and 308 =
  12. 12.HCF of 60 and 216 =
  13. 13.HCF of 48 and 136 =
  14. 14.HCF of 15 and 18 =
  15. 15.HCF of 72 and 480 =
  16. 16.HCF of 300 and 475 =
  17. 17.HCF of 36 and 81 =
  18. 18.HCF of 54 and 66 =
  19. 19.HCF of 275 and 100 =
  20. 20.HCF of 323 and 171 =
  21. 21.HCF of 140 and 60 =
  22. 22.HCF of 255 and 119 =
  23. 23.HCF of 126 and 234 =
  24. 24.HCF of 220 and 80 =
  25. 25.HCF of 39 and 54 =
  26. 26.HCF of 192 and 456 =
  27. 27.HCF of 92 and 69 =
  28. 28.HCF of 105 and 84 =
  29. 29.HCF of 102 and 120 =
  30. 30.HCF of 85 and 65 =
  31. 31.HCF of 20 and 130 =
  32. 32.HCF of 176 and 192 =
  33. 33.HCF of 247 and 78 =
  34. 34.HCF of 110 and 66 =
  35. 35.HCF of 391 and 46 =
  36. 36.HCF of 57 and 21 =
  37. 37.HCF of 252 and 342 =
  38. 38.HCF of 110 and 99 =
  39. 39.HCF of 66 and 90 =
  40. 40.HCF of 54 and 33 =

Answer key

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

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