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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 259 · 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 187 and 85 =
  2. 2.HCF of 162 and 288 =
  3. 3.HCF of 171 and 304 =
  4. 4.HCF of 10 and 95 =
  5. 5.HCF of 32 and 104 =
  6. 6.HCF of 40 and 16 =
  7. 7.HCF of 68 and 153 =
  8. 8.HCF of 190 and 40 =
  9. 9.HCF of 85 and 95 =
  10. 10.HCF of 90 and 140 =
  11. 11.HCF of 324 and 90 =
  12. 12.HCF of 22 and 121 =
  13. 13.HCF of 312 and 240 =
  14. 14.HCF of 168 and 312 =
  15. 15.HCF of 50 and 85 =
  16. 16.HCF of 40 and 30 =
  17. 17.HCF of 99 and 180 =
  18. 18.HCF of 50 and 225 =
  19. 19.HCF of 24 and 112 =
  20. 20.HCF of 112 and 104 =
  21. 21.HCF of 90 and 255 =
  22. 22.HCF of 75 and 85 =
  23. 23.HCF of 115 and 276 =
  24. 24.HCF of 192 and 204 =
  25. 25.HCF of 64 and 176 =
  26. 26.HCF of 44 and 8 =
  27. 27.HCF of 16 and 28 =
  28. 28.HCF of 100 and 120 =
  29. 29.HCF of 88 and 120 =
  30. 30.HCF of 78 and 18 =
  31. 31.HCF of 140 and 50 =
  32. 32.HCF of 140 and 200 =
  33. 33.HCF of 55 and 65 =
  34. 34.HCF of 208 and 117 =
  35. 35.HCF of 32 and 20 =
  36. 36.HCF of 54 and 153 =
  37. 37.HCF of 234 and 90 =
  38. 38.HCF of 22 and 6 =
  39. 39.HCF of 323 and 221 =
  40. 40.HCF of 120 and 380 =

Answer key

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

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