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slega [8]
2 years ago
13

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

Mathematics
1 answer:
8090 [49]2 years ago
6 0

Answer:

See explanation

Step-by-step 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)

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