Question

Find the highest common factor of 2³ x 3,2²×3,5× 7, and 2 x 7².​

Answer 1

2^3 * 3

2^2 * 3

5 * 7

2 * 7^2

The GCF they all share is 1, or 2^0 * 3^0 * 5^0 * 7^0.

We can rewrite these numbers like so:

2^3 * 3^1 * 5^0 * 7^0

2^2 * 3^1 * 5^0 * 7^0

2^0 * 3^0 * 5^1 * 7^1

2^1 * 3^0 * 5^0 * 7^2

Take the lowest powered form of each factor

2^0 , 3^0 , 5^0 , 7^0

Multiply them together

1

Explanation: