How Can a set of numbers have a GCF greater than 1?

Answer 1

Ex: 30 and 42

The factors of 30 are:

1, 2, 3, 5, 6, 10, 15, 30

The factors of 42 are:

1, 2, 3, 6, 7, 14, 21, 42

The common factors are:

1, 2, 3, 6

The Greatest Common Factor:

GCF = 6

Answer 2

Well, isn't that just a happy little question! When a set of numbers has a greatest common factor (GCF) greater than 1, it simply means that there are common factors shared among the numbers that are larger than 1. It's like finding the biggest brush in your collection that can paint all the numbers with the same beautiful color. Just remember, numbers can always find common ground to create something truly special!

Answer 3

A set of numbers can have a greatest common factor (GCF) greater than 1 when there are common factors other than 1 that divide all the numbers in the set evenly. For example, if the numbers in the set are all multiples of a Prime number greater than 1, then that prime number would be the GCF. Another scenario is when the numbers in the set have multiple common factors greater than 1 that are shared among them, leading to a GCF greater than 1.

Answer 4

Well, honey, it's simple math. If you have a set of numbers that have common factors greater than 1, then their Greatest Common Factor (GCF) will also be greater than 1. It's like finding that one friend who always brings the good snacks to the party - they're the common factor that everyone loves. So, grab your calculators and start crunching those numbers, sweetie!

Answer 5

If each member of the set of numbers is a multiple of some number, k, then the GCF for the set is k. k can be an integer greater than 1.

Answer 6

If you have a GCF that is 1 than it means the set of numbers are relatively prime. If the set of numbers are not relatively prime and have a common factor that goes into both of the set of numbers the GCF will never be 1 and will always be greater than 1.