Question #45829

1 Answer
Dec 13, 2017
  1. 3w
  2. 6
  3. 9

Explanation:

The GCD is the largest value that can be divided into each number and still result in a whole number. It can be found by separating out all of the prime number factors and then combining the similar ones.

1.#21w = 3 xx 7 xx w#
#18w = 3 xx 3 xx 2 xx w# ONLY one of the '3' and the 'w' are common: #3w#
The factored forms would be #7 and 6#

  1. #6x = 3 xx 2 xx x#
    #12 = 3 xx 2 xx 2# The "3" and one "2" are common:
    #3 xx 2 = 6# The factored forms are #x and 2#.

  2. #9g = 3 xx 3 xx g#
    #18h = 3 xx 3 xx 2 xx h# Two of the "3" are common:
    #3 xx 3 = 9# The factored forms are #g and 2h#.