Question

Find the GCF and LCM of the following monomials.
1.)28,35,42
2.)9x^2y and 36xy^3

Answer 1

Hey Janet,
I am afraid I can't help you with number 2. I am struggling in that myself.
However, I can help you with number 1.
**Yay**

OK, the question is asking us to find the GCF ( Greatest Common Factor) and the LCM
(Least Common Multiple).
So let's start out with finding the GCF of 28,35, and 42.


I'm going to start out by making a factor tree.

28
^
7 * 4
^
2 * 2
Seven is prime, 4 is not though, so we need to reduce further. 2 is also prime.

So the factors of 28 are 7,2, and 2.
Now 35.

35
^
7 * 5
Seven and 5 are prime so the factors are 7 and 5.

Now for 42.

42
^
7 * 6
^
2 * 3
Now all of the numbers have 7 as their GCF.

I am sorry, that is all I can help you with.
Cheers!
Aluminum<3 Helping and C.S.I