How do you determine the GCF of #10m^3, 40m^8#, and #100m^4#?

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Answer 1 · 2017-09-08T00:50:43

See a solution process below:

First, we can factor each term as:

#10m^3 = 10 xx m^3#

#40m^8 = 4 xx 10 xx m^3 xx m^5#

#100m^4 = 10 xx 10 xx m^3 xx m#

Now identify the common factors and determine the GCF:

#10m^3 = color(red)(10) xx color(red)(m^3)#

#40m^8 = 4 xx color(red)(10) xx color(red)(m^3) xx m^5#

#100m^4 = 10 xx color(red)(10) xx color(red)(m^3) xx m#

Therefore:

#"GCF" = color(red)(10) xx color(red)(m^3) = 10m^3#