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g100num [7]
3 years ago
6

Find the greatest common factor: 12ab^2c^4 + 20a^4bc^3 + 16a^3b

Mathematics
1 answer:
nordsb [41]3 years ago
5 0

Option A

The greatest common factor is 4ab

<em><u>Solution:</u></em>

Given that,

We have to find the greatest common factor

12ab^2c^4+20a^4bc^3+16a^3b

<em><u>First find the GCF of numbers</u></em>

GCF of 12, 20, 16

The factors of 12 are: 1, 2, 3, 4, 6, 12

The factors of 16 are: 1, 2, 4, 8, 16

The factors of 20 are: 1, 2, 4, 5, 10, 20

Then the greatest common factor is 4

<em><u>Now find the GCF of variables</u></em>

ab^2c^4\\\\a^4bc^3\\\\a^3b

Here,

ab is the greatest common factor

Therefore, GCF of variables is ab

Thus, GCF of given expression is: 4ab

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