Well, honey, the greatest common factor in 21ab and 14b is 7b. You see, 21 can be broken down into 3 x 7, and 14 can be broken down into 2 x 7. And since they both have a b in common, that's your greatest common factor right there. Math made sassy!
You can take 7b out of both of those, leaving 3a and 2
The factors of 21ab are 1, 3, 7, 21, a, and b.
7b.
7b
The prime factors of 21 are 3 and 7.The prime factors of 14 are 2 and 7.The greatest common factor of 21 and 14 is 7.21ab and 14b also have another factor in common - b. So, the greatest common factor of 21ab and 14b would appear to be 7b . However, it is possible that a and 14 share a common factor of 2, in which case the greatest common factor of 21ab and 14b would be 14b.In summary, if a is an even number (i.e. having a factor of 2), the greatest common factor is 14b.If a is not an even number, the greatest common factor is 7b.gcf(21ab, 14b) = 7b.
Well, honey, the greatest common factor in 21ab and 14b is 7b. You see, 21 can be broken down into 3 x 7, and 14 can be broken down into 2 x 7. And since they both have a b in common, that's your greatest common factor right there. Math made sassy!
You need at least two terms to find a GCF.
The greatest common factor is 7a.21ab+35a=7a(3b+5)GCF(21ab, 35a) = 7a. How? Factor out each term to get:21ab = 3 x 7 x a x b35a = 5 x 7 x aThe factors that occur both in 21ab and 35a are 7 and a. Therefore, the GCF is 7a.
You can take 7b out of both of those, leaving 3a and 2
The factors of 21ab are 1, 3, 7, 21, a, and b.
The LCM is 42a2b3.