How do you find the GCF of $10 a, 20 a^{2}, 25 a$ $10a, 20a^2, 25a$ ?

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Answer 1 · 2017-02-13T22:31:04

See the entire solution process below:

To find the GCF of the three terms we need to first factor each of the terms separately:

$10 a = 2 \times 5 \times a$ $10a = 2 xx 5 xx a$

$20 a = 2 \times 2 \times 5 \times a \times a$ $20a = 2 xx 2 xx 5 xx a xx a$

$25 a = 5 \times 5 \times a$ $25a = 5 xx 5 xx a$

The common terms are:

$10 a = 2 \times 5 \times a$ $10a = 2 xx color(red)(5) xx color(red)(a)$

$20 a = 2 \times 2 \times 5 \times a \times a$ $20a = 2 xx 2 xx color(red)(5) xx color(red)(a) xx a$

$25 a = 5 \times 5 \times a$ $25a = 5 xx color(red)(5) xx color(red)(a)$

Therefore, the GCF is $5 a$ $5a$

How do you find the GCF of 10a,20a2,25a10a, 20a^2, 25a?