Question

Write the sum of the numbers as the product of their GCF and another sum.

44 + 40 =

13 + 52 =

15 + 81 =

64 + 28 =​

Answer 1

See explanation

Explanation:

1. Find the GCF of 40 and 44:

`40=\underline{2\cdot 2}\cdot 2\cdot 5\\ \\44=\underline{2\cdot 2}\cdot 2\cdot 11\\ \\GCF(40,44)=2\cdot 2=4`

So,

`40+44=4\cdot 10+4\cdot 11=4\cdot (10+11)`

2. Find the GCF of 13 and 52:

`13=\underline{13}\\ \\52=2\cdot 2\cdot \underline{13}\\ \\GCF(13,52)=13`

So,

`13+52=13\cdot 1+13\cdot 4=13\cdot (1+4)`

3. Find the GCF of 15 and 81:

`15=\underline{3}\cdot 5\\ \\81=\underline{3}\cdot 3\cdot 3\cdot 3\\ \\GCF(15,81)=3`

So,

`15+81=3\cdot 5+3\cdot 27=3\cdot (5+27)`

4. Find the GCF of 64 and 28:

`64=\underline{2\cdot 2}\cdot 2\cdot 2\cdot 2\cdot 2\\ \\28=\underline{2\cdot 2}\cdot 7\\ \\GCF(64,28)=2\cdot 2=4`

So,

`64+28=4\cdot 16+4\cdot 7=4\cdot (16+7)`