A recruiter must group 90 male applicants and 75 female applicants into identical squads with no one left over. What is the greatest number of squads that can be formed?

Correct answer to question 236 (Arithmetic Reasoning): 15 squads

Method

The squad count must divide both totals evenly, so the greatest possible number of squads is the greatest common factor of 90 and 75. Since 90 is 2 x 3 x 3 x 5 and 75 is 3 x 5 x 5, they share 3 x 5 = 15, so 15 squads can be formed.