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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 254 · 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 285 and 30 =
  2. 2.HCF of 34 and 26 =
  3. 3.HCF of 110 and 77 =
  4. 4.HCF of 20 and 170 =
  5. 5.HCF of 95 and 20 =
  6. 6.HCF of 12 and 16 =
  7. 7.HCF of 78 and 90 =
  8. 8.HCF of 154 and 140 =
  9. 9.HCF of 119 and 34 =
  10. 10.HCF of 60 and 9 =
  11. 11.HCF of 304 and 256 =
  12. 12.HCF of 162 and 306 =
  13. 13.HCF of 42 and 12 =
  14. 14.HCF of 91 and 98 =
  15. 15.HCF of 44 and 374 =
  16. 16.HCF of 24 and 80 =
  17. 17.HCF of 380 and 320 =
  18. 18.HCF of 26 and 28 =
  19. 19.HCF of 24 and 54 =
  20. 20.HCF of 182 and 70 =
  21. 21.HCF of 40 and 24 =
  22. 22.HCF of 115 and 391 =
  23. 23.HCF of 144 and 128 =
  24. 24.HCF of 240 and 140 =
  25. 25.HCF of 150 and 285 =
  26. 26.HCF of 255 and 300 =
  27. 27.HCF of 400 and 475 =
  28. 28.HCF of 72 and 156 =
  29. 29.HCF of 255 and 90 =
  30. 30.HCF of 120 and 220 =
  31. 31.HCF of 77 and 14 =
  32. 32.HCF of 91 and 133 =
  33. 33.HCF of 92 and 69 =
  34. 34.HCF of 72 and 480 =
  35. 35.HCF of 28 and 64 =
  36. 36.HCF of 69 and 92 =
  37. 37.HCF of 54 and 102 =
  38. 38.HCF of 264 and 288 =
  39. 39.HCF of 255 and 120 =
  40. 40.HCF of 75 and 175 =

Answer key

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

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