How do you find the GCF for #8a ^ { 7} b ^ { 8} c # and #- 12g ^ { 7} b#?

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Answer 1 · 2017-07-16T00:09:08

See a solution process below:

We can first factor each of the terms separately as:

#8a^7b^8x = 4 * 2 * a^7 * b * b^7 * c#

#-12g^7b = 3 * -3 * g^7 * b#

We can now identify the common terms:

#8a^7b^8x = color(red)(4) * 2 * a^7 * color(red)(b) * b^7 * c#

#-12g^7b = color(red)(4) * -3 * g^7 * color(red)(b)#

We can pull these out and combine or multiply them to calculate the GCF:

#color(red)(4) * color(red)(b) = 4b#