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 from each country are distributed equally among the same groups, with nobody left over. The numbers from different countries within one group need not be equal.

  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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