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What is the greatest common factor of #28u^10v^6,36u^6v^5, and 49u^5v#?

Answer 1

#7u^5v#

Separating each component of #color(red)(28u^10v^6),color(blue)(36u^6v^5),color(green)(49u^5v)#:

#{: (,"||",color(red)(28),color(blue)(35),color(green)(49),"||",color(red)(u^10),color(blue)(u^6),color(green)(u^5),"||",color(red)(v^6),color(blue)(v^5),color(green)(v)), ("Factors: ","||",color(red)(2xx2xx7),color(blue)(5xx7),color(green)(7xx7),"||",color(red)(u^5xxu^5),color(blue)(u^5xxu),color(green)(u^5),"||",color(red)(vxxv^5),color(blue)(vxxv^4),color(green)(v)), (GCF,"||",,7,,"||",,u^5,,"||",,v,) :}#

Recombining the GCF of the components: #color(white)("XXX")color(magenta)(7u^5v#

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Answer 2

Gabriel Agustin

The greatest common factor of 28u^10v^6, 36u^6v^5, and 49u^5v is 4u^5v.

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Answer 3

Riley Anderson

The greatest common factor of (28u^{10}v^{6}), (36u^{6}v^{5}), and (49u^{5}v) is (4u^{5}v).

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Answer 4

Emery Allen

The greatest common factor of ( 28u^{10}v^6 ), ( 36u^6v^5 ), and ( 49u^5v ) is ( 4u^5v ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.