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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 760 · 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 180 and 140 =
  2. 2.HCF of 240 and 285 =
  3. 3.HCF of 133 and 209 =
  4. 4.HCF of 51 and 33 =
  5. 5.HCF of 30 and 12 =
  6. 6.HCF of 380 and 340 =
  7. 7.HCF of 204 and 216 =
  8. 8.HCF of 30 and 255 =
  9. 9.HCF of 170 and 120 =
  10. 10.HCF of 216 and 60 =
  11. 11.HCF of 66 and 18 =
  12. 12.HCF of 66 and 78 =
  13. 13.HCF of 252 and 273 =
  14. 14.HCF of 40 and 340 =
  15. 15.HCF of 27 and 60 =
  16. 16.HCF of 8 and 34 =
  17. 17.HCF of 14 and 4 =
  18. 18.HCF of 64 and 76 =
  19. 19.HCF of 216 and 126 =
  20. 20.HCF of 240 and 208 =
  21. 21.HCF of 75 and 35 =
  22. 22.HCF of 60 and 84 =
  23. 23.HCF of 88 and 96 =
  24. 24.HCF of 30 and 165 =
  25. 25.HCF of 154 and 132 =
  26. 26.HCF of 368 and 69 =
  27. 27.HCF of 22 and 20 =
  28. 28.HCF of 66 and 418 =
  29. 29.HCF of 238 and 221 =
  30. 30.HCF of 133 and 98 =
  31. 31.HCF of 50 and 75 =
  32. 32.HCF of 33 and 143 =
  33. 33.HCF of 165 and 150 =
  34. 34.HCF of 323 and 340 =
  35. 35.HCF of 153 and 135 =
  36. 36.HCF of 176 and 32 =
  37. 37.HCF of 374 and 264 =
  38. 38.HCF of 228 and 84 =
  39. 39.HCF of 168 and 384 =
  40. 40.HCF of 96 and 90 =

Answer key

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

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