Question

Question #ea294

Answer 1

See a solution process below:

Explanation:

Find the prime factors for each number as:

`30 xx 4 = 2 xx 3 xx 5 xx 2 xx 2`

`110 xx 6 = 2 xx 5 xx 11 xx 2 xx 3`

`60 xx 7 = 2 xx 2 xx 3 xx 5 xx 7`

Now identify the common factors and determine the GCF:

`30 xx 4 = color(red)(2) xx color(red)(3) xx color(red)(5) xx color(red)(2) xx 2`

`110 xx 6 = color(red)(2) xx color(red)(5) xx 11 xx color(red)(2) xx color(red)(3)`

`60 xx 7 = color(red)(2) xx color(red)(2) xx color(red)(3) xx color(red)(5) xx 7`

Therefore:

`"GCF" = color(red)(2) xx color(red)(2) xx color(red)(3) xx color(red)(5) = 60`