9514 1404 393
Answer:
16
Step-by-step explanation:
48 = 16·3
112 = 16·7
80 = 16·5
3, 5, 7 have no common factors. The GCF of {48, 112, 80} is 16.
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It can be helpful to recognize 48 = 16·3 and 80 = 16·5. A simple check shows 112 = 16·7, so 16 is the GCF.
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You can find GCF(48,112) using Euclid's algorithm:
112 mod 48 = 16
48 mod 16 = 0 ⇒ GCF(48, 112) = 16
and the GCF(16, 80) is ...
80 mod 16 = 0 ⇒ GCF(16, 80) = 16
So, GCF(48, 80, 112) is 16.
