Highest Common Factor and Its Applications

Highest Common Factor and Its Applications

TGM Original Questions

A conference is attended by \(660\) participants from Country \(A\), \(720\) participants from Country \(B\) and \(980\) participants from Country \(C\). Participants are distributed into groups with each group consisting an equal number of participants from each country.

  1. What is the greatest number of groups that can be formed?
  2. How many participants are from Country \(A\), Country \(B\) and Country \(C\) in each group?

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Answer:(a) \(20\) groups (b) \(A=33,\ B=36,\ C=49\) participants

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