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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 545 · 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 40 and 16 =
  2. 2.HCF of 65 and 78 =
  3. 3.HCF of 240 and 105 =
  4. 4.HCF of 96 and 264 =
  5. 5.HCF of 6 and 20 =
  6. 6.HCF of 48 and 132 =
  7. 7.HCF of 104 and 16 =
  8. 8.HCF of 108 and 126 =
  9. 9.HCF of 98 and 224 =
  10. 10.HCF of 200 and 170 =
  11. 11.HCF of 273 and 147 =
  12. 12.HCF of 14 and 91 =
  13. 13.HCF of 128 and 304 =
  14. 14.HCF of 294 and 189 =
  15. 15.HCF of 50 and 15 =
  16. 16.HCF of 306 and 324 =
  17. 17.HCF of 180 and 117 =
  18. 18.HCF of 99 and 144 =
  19. 19.HCF of 126 and 180 =
  20. 20.HCF of 24 and 45 =
  21. 21.HCF of 266 and 154 =
  22. 22.HCF of 105 and 133 =
  23. 23.HCF of 323 and 238 =
  24. 24.HCF of 152 and 133 =
  25. 25.HCF of 357 and 315 =
  26. 26.HCF of 22 and 10 =
  27. 27.HCF of 91 and 104 =
  28. 28.HCF of 119 and 187 =
  29. 29.HCF of 361 and 380 =
  30. 30.HCF of 153 and 171 =
  31. 31.HCF of 12 and 44 =
  32. 32.HCF of 192 and 168 =
  33. 33.HCF of 150 and 275 =
  34. 34.HCF of 6 and 8 =
  35. 35.HCF of 16 and 12 =
  36. 36.HCF of 16 and 18 =
  37. 37.HCF of 98 and 77 =
  38. 38.HCF of 72 and 112 =
  39. 39.HCF of 78 and 96 =
  40. 40.HCF of 24 and 16 =

Answer key

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

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