Find the gcf of each pair of monomials:
1. 56g, 84gh
2. 18cd, 30cd

it would if you had a "how you did it" thing.

Step-by-step explanation:

1. You can factor these to prime factors, then look for common factors:

56g = 2^3 · 7 · g

84gh = 2^2 · 3 · 7 · g · h

Factors that are common to both are 2^2 · 7 · g = 28g.

When a factor is raised to a power, the least power is the common factor:

  2^2 and 2^3 have a greatest common factor of 2^2

___

2. Same deal.

18cd = 2 · 3^2 · c · d

30cd = 2 · 3 · 5 · c · d

Factors that are common to both are 2 · 3 · c · d = 6cd.

Comment on GCF of integers

It is helpful to be familiar with multiplication tables and divisibility rules when factoring integers. It can also be helpful to be aware of Euclid's algorithm for finding the GCF of two numbers.

___

Using this algorithm on 56 and 84, we find ...

  84/56 = 1 remainder 28

  56/28 = 2 remainder 0, so 28 is the GCF of 56 and 84.

Using this algorithm on 18 and 30, we find ...

  30/18 = 1 remainder 12

  18/12 = 1 remainder 6

  12/6 = 2 remainder 0, so 6 is the GCF of 18 and 30.

ñplokuhtgfedij

step-by-step explanation: