David wants to arrange the cars on his car lot. He wants to park the cars in rows with the same number of each type of car in each row. What is the greatest number of rows David can have?

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Complete question :

David wants to arrange the cars on his car lot. He wants to park the cars in

rows with the same number of each type of car in each row. What is the

greatest number of rows David can have?

Number of Cars

Sports Car-72

SUV-60

Sedans-48

Trucks-84

Answer:

12 rows

Step-by-step explanation:

To obtain the greatest number of rows, take the highest common factor :

72 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72

60 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

48 : 1, 2, 3, 4, 6, 8, 12, 16, 24 48.

84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

From the calculation above, the greatest number of rows David can have is 12