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What is the greatest common factor of 48, 112, and 80

Sagot :

Sqdancefanidn

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.

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