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  • Sarah is a gardener and has a collection of different types of flowers grown in flower pots. She wants to arrange her flower pots in rows for a garden exhibition. She has 180 pots of one type

Sarah is a gardener and has a collection of different types of flowers grown in flower pots. She wants to arrange her flower pots in rows for a garden exhibition.
She has 180 pots of one type and 192 pots of another type. Sarah wants to arrange the pots in rows with the same number of pots in each row

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To arrange the pots in rows with the same number of pots in each row, use GCD- Greatest common divisor. The GCD will give the largest number of pots that can be placed in each row so that both types of pots can be arranged evenly.

To find the greatest common divisor (GCD) of 180 and 192, to arrange the pots in rows with the same number of pots - 

$  \text{Prime factorization of } 180 = 2^2 \times 3^2 \times 5$ 
$  \text{Prime factorization of } 192 = 2^6 \times 3$ 
$  \text{Now, find the common factors:} $ 
$  \text{Common factors are } 2^2 \text{ and } 3 $
$  \text{Thus, the GCD is:} $
$ \text{GCD} = 2^2 \times 3 = 4 \times 3 = 12 $

$ \text{Therefore, Sarah can arrange the pots in rows with } 12 \text{ pots in each row.} $

Posted by

Saniya Khatri

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