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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 619 · 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 140 and 360 =
  2. 2.HCF of 132 and 77 =
  3. 3.HCF of 120 and 32 =
  4. 4.HCF of 138 and 115 =
  5. 5.HCF of 156 and 24 =
  6. 6.HCF of 39 and 60 =
  7. 7.HCF of 160 and 220 =
  8. 8.HCF of 247 and 234 =
  9. 9.HCF of 65 and 35 =
  10. 10.HCF of 168 and 108 =
  11. 11.HCF of 209 and 220 =
  12. 12.HCF of 50 and 30 =
  13. 13.HCF of 8 and 36 =
  14. 14.HCF of 286 and 374 =
  15. 15.HCF of 54 and 39 =
  16. 16.HCF of 324 and 198 =
  17. 17.HCF of 38 and 171 =
  18. 18.HCF of 20 and 22 =
  19. 19.HCF of 198 and 374 =
  20. 20.HCF of 54 and 360 =
  21. 21.HCF of 120 and 225 =
  22. 22.HCF of 69 and 115 =
  23. 23.HCF of 50 and 375 =
  24. 24.HCF of 132 and 144 =
  25. 25.HCF of 168 and 180 =
  26. 26.HCF of 266 and 171 =
  27. 27.HCF of 161 and 345 =
  28. 28.HCF of 120 and 64 =
  29. 29.HCF of 35 and 65 =
  30. 30.HCF of 140 and 154 =
  31. 31.HCF of 240 and 135 =
  32. 32.HCF of 91 and 14 =
  33. 33.HCF of 55 and 187 =
  34. 34.HCF of 418 and 154 =
  35. 35.HCF of 114 and 90 =
  36. 36.HCF of 238 and 266 =
  37. 37.HCF of 80 and 136 =
  38. 38.HCF of 63 and 112 =
  39. 39.HCF of 264 and 374 =
  40. 40.HCF of 45 and 33 =

Answer key

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

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