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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 364 · 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 28 and 32 =
  2. 2.HCF of 440 and 66 =
  3. 3.HCF of 171 and 133 =
  4. 4.HCF of 27 and 36 =
  5. 5.HCF of 209 and 187 =
  6. 6.HCF of 418 and 352 =
  7. 7.HCF of 18 and 51 =
  8. 8.HCF of 266 and 238 =
  9. 9.HCF of 38 and 95 =
  10. 10.HCF of 60 and 96 =
  11. 11.HCF of 266 and 98 =
  12. 12.HCF of 126 and 273 =
  13. 13.HCF of 36 and 240 =
  14. 14.HCF of 169 and 52 =
  15. 15.HCF of 136 and 112 =
  16. 16.HCF of 176 and 96 =
  17. 17.HCF of 84 and 77 =
  18. 18.HCF of 70 and 120 =
  19. 19.HCF of 75 and 90 =
  20. 20.HCF of 88 and 160 =
  21. 21.HCF of 65 and 45 =
  22. 22.HCF of 117 and 247 =
  23. 23.HCF of 56 and 182 =
  24. 24.HCF of 24 and 20 =
  25. 25.HCF of 36 and 76 =
  26. 26.HCF of 112 and 176 =
  27. 27.HCF of 50 and 80 =
  28. 28.HCF of 12 and 33 =
  29. 29.HCF of 72 and 32 =
  30. 30.HCF of 28 and 48 =
  31. 31.HCF of 195 and 221 =
  32. 32.HCF of 285 and 105 =
  33. 33.HCF of 32 and 56 =
  34. 34.HCF of 36 and 228 =
  35. 35.HCF of 48 and 84 =
  36. 36.HCF of 80 and 68 =
  37. 37.HCF of 55 and 65 =
  38. 38.HCF of 126 and 266 =
  39. 39.HCF of 95 and 304 =
  40. 40.HCF of 72 and 81 =

Answer key

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

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