Find the greatest common factor of 27ab3 and 90a²b.

asked Jul 27, 2023 164k views

20 votes

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2 votes

Answer: 9ab

Explanation:

$\mathrm{Find\:Greatest\:Common\:Factor\:of\:}27ab^3 \ \text{and} \ 90a^2b$

$\mathrm{Factor\:}27ab^3$

$3\cdot \:3\cdot \:3\cdot \:a\cdot \:b\cdot \:b\cdot \:b$

$\mathrm{Factor\:}90a^2b$

$2\cdot \:3\cdot \:3\cdot \:5\cdot \:a\cdot \:a\cdot \:b$

$\mathrm{Common\:factors:}$

$3\cdot \:3\cdot \:a\cdot \:b$

$\mathrm{Simplify}$

9ab

Modig answered Aug 1, 2023

by Modig

4.6k points

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