Evaluate the GCD of 28, 38, 48 and 58.

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Solution

Let's make the Factor Tree of each given number.

$28 - - -$

$38 - - -$

$48 - - -$

$58 - - -$

$\to 28 = 2 \times 2 \times 7$
$\to 38 = 2 \times 19$
$\to 48 = 2 \times 2 \times 2 \times 2 \times 3$
$\to 58 = 2 \times 29$

The common factor among these is $2.$
$∴$ GCD is $2.$

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