Question

HELP WILL MARK BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 98 POINTS!!!!!!!!!!!!

Make a list to find the GCF of each set of numbers.


One set of classic comic books contains 18 books, and the other contains 24 books. Each
set can be divided equally among the Collectors Club members present at the club meeting.
a. Is it possible only five members are present? Explain
b. Is it possible only three members are present? Explain.
c. What must be true about the number of members present?
d. List all the possible numbers of members present?

Answer 1

Divisors of 18 are 1, 2, 3, 6, 9, 18.

Divisors of 24 are 1, 2, 3, 4, 6, 8, 12, 24.

The largest number on both lists is 6. This is the GCF of 18 and 24.

_____

a) No. The number present must be a divisor of 6.

b) Yes. The number present is a divisor of 6.

c) The number present must be a divisor of 6.

d) Possible numbers present are 1, 2, 3, 6.

Answer 2

The question asks for the GCF of 18 and 24, then the common factors between both numbers. Remember that the GCF and all factors can only be integers for this question.

Find all of the common factors of 18 and 24:

Factors of 18: {1,2,3,6,9,18}

Factors of 24: {1,2,3,4,6,8,12,24}

Common factors are bolded. The common factors between 18 and 24 are 1, 2, 3, and 6. The greatest common factor is 6.

a.

It is impossible for 5 members to be present, as 5 is not a common factor.

b.

It is possible for 3 members to be present, as 3 is a common factor.

c.

The number of members must be a common factor between 18 and 24, as that allows for the books to be divided equally between the common factor amount of members.

d.

The possible numbers of members present can be 1, 2, 3, or 6 members.