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Yanka [14]
3 years ago
6

What is the greatest common factor 72 and the least common multiple of 16 and 24?

Mathematics
1 answer:
NISA [10]3 years ago
7 0
The gcf is 3 the lcm is 48 :^)
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Step-by-step explanation:

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Let's say our first integer is "a".

how to get the next consecutive EVEN integer?  well, just add or subtract 2 from it, therefore, the second consecutive integer will be "a + 2".

and the next after that, will then be (a + 2) + 2, or "a + 4".

so those are are 3 integers, a           a + 2           a+4

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\bf \stackrel{\textit{3 times the first}}{3a}~~=~~\stackrel{\textit{26 less than twice the sum of the others}}{2[~(a+2)+(a+4)~]~~~-26}
\\\\\\
3a=2[~2a+6~]-26\implies 3a=4a+12-26\implies 3a=4a-14
\\\\\\
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what are the other two consecutive integers?  well, a + 2 and a + 4.
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If you divide:

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