How do you find the GCF of $36 a^{3} b, 56 a b$ $36a^3b, 56ab$ ?

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How do you find the GCF of $36 a^{3} b, 56 a b$ $36a^3b, 56ab$ ?

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Answer 1 · 2017-01-15T19:54:19

GCF of $36 a^{3} b$ $36a^3b$ and $56 a b = 4 a b$ $56ab = 4ab$

Explanation:

Factors of:
$36 a^{3} b = 2 \times 2 \times 3 \times 3 \times a \times a \times a \times b$ $36a^3b = 2×2×3×3×a×a×a×b$

$56 a b = 2 \times 2 \times 2 \times 7 \times a \times b$ $56ab = 2×2×2×7×a×b$
If we observe the factors of both, we will find that both have $2, 2, a and b$ $2, 2, a and b$ as common factors in both.
Therefore, GCF of $36 a^{3} b$ $36a^3b$ and $56 a b = 2 \times 2 \times a \times b = 4 a b$ $56ab = 2×2×a×b = 4ab$ .

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How do you find the GCF of $36 a^{3} b, 56 a b$ $36a^3b, 56ab$ ?

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How do you find the GCF of $36 a^{3} b, 56 a b$ $36a^3b, 56ab$ ?