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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 873 · 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 36 and 8 =
  2. 2.HCF of 15 and 65 =
  3. 3.HCF of 115 and 69 =
  4. 4.HCF of 264 and 96 =
  5. 5.HCF of 90 and 126 =
  6. 6.HCF of 184 and 115 =
  7. 7.HCF of 26 and 34 =
  8. 8.HCF of 500 and 275 =
  9. 9.HCF of 133 and 98 =
  10. 10.HCF of 128 and 104 =
  11. 11.HCF of 132 and 180 =
  12. 12.HCF of 27 and 180 =
  13. 13.HCF of 90 and 48 =
  14. 14.HCF of 22 and 10 =
  15. 15.HCF of 100 and 120 =
  16. 16.HCF of 175 and 100 =
  17. 17.HCF of 38 and 171 =
  18. 18.HCF of 288 and 176 =
  19. 19.HCF of 187 and 272 =
  20. 20.HCF of 26 and 22 =
  21. 21.HCF of 57 and 36 =
  22. 22.HCF of 275 and 350 =
  23. 23.HCF of 180 and 96 =
  24. 24.HCF of 9 and 30 =
  25. 25.HCF of 325 and 50 =
  26. 26.HCF of 133 and 361 =
  27. 27.HCF of 160 and 260 =
  28. 28.HCF of 45 and 81 =
  29. 29.HCF of 64 and 176 =
  30. 30.HCF of 273 and 336 =
  31. 31.HCF of 65 and 91 =
  32. 32.HCF of 68 and 153 =
  33. 33.HCF of 42 and 24 =
  34. 34.HCF of 70 and 84 =
  35. 35.HCF of 180 and 105 =
  36. 36.HCF of 42 and 12 =
  37. 37.HCF of 112 and 272 =
  38. 38.HCF of 240 and 228 =
  39. 39.HCF of 128 and 80 =
  40. 40.HCF of 30 and 27 =

Answer key

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

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