Question

Valerie said that the GCF of two monomials is 7bc. What two monomials did she use?35ab²c and 7abc²35ab²c and 7bc²ab² and 7bc²ab²c and 7abc²

Answer 1

Greatest common factor or GCf is the greatest number or factor that divides two or more numbers or .

Consider 35ab²c and 7abc²

35ab²c can be written as,

`7*5abbc`

So, the GCF of 35ab²c and 7abc² is 7abc.

Consider 35ab²c and 7bc²

The GCF of 35ab²c and 7bc² is 7bc.

Consider ab² and 7bc².

Since 7 is not a factor of the terms, 7bc is not GCF of ab² and 7bc².

Consider ab²c and 7abc²​.

Since 7 is not a common factor of the terms ab²c and 7abc²​, 7bc is not GCF of ab² and 7bc².

Therefore, 7bc is the GCF of 35ab²c and 7bc².

Option (2) is correct.