Kiranm
Answered

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The greatest common factor (GCF) of x^4,x^7,x^8 is____.

The Greatest Common Factor GCF Of X4x7x8 Is class=

Sagot :

The greatest common factor is the biggest number that divides all of them evenly. For this, we have [tex]x^4, x^7, x^8[/tex]. Let's try [tex]x^4[/tex]. Does it divide all three evenly?

[tex]x^4/x^4 = 1\\x^7/x^4 = x^3\\x^8/x^4 = x^4[/tex]

Yes, because those are all whole numbers. Is there a bigger number than [tex]x^4[/tex] which divides all three? No, there can't be, because then it wouldn't go into [tex]x^4[/tex] evenly. (It would be too big.)

So [tex]$\boxed{x^4}$[/tex] must be the greatest common factor.

that should be right what do you the inkling