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What is The GCM Of 10 and 28?

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Anonymous

∙ 14y ago
Updated: 8/20/2019

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∙ 14y ago
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There can be no GCM since given any number with a claim to being a GCM, twice that number will be greater and it will be a common multiple.


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The greatest common multiple of any set of integers is infinite.


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The GCM is infinite.


What number goes into both 10 and 3?

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What is the GCM of 7 and 13?

There can be no GCM (Greatest Common Multiple). Suppose a GCM exists and suppose it is x. That is, x is the GCM of 7 and 13, then 2x is a multiple of both 7 and 13 and is greater than x. This contradicts the statement that x is the GCM. So x cannot be the GCM.


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The greatest common multiple of any set of integers is infinite.


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