Can anyone please check my proof for this number theory problem?

Math100
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Homework Statement
Prove that ((a, b), b)=(a, b).
Relevant Equations
None.
Please view the picture of my work which I've uploaded.
 

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  • Number Theory.jpg
    Number Theory.jpg
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Physics news on Phys.org
Looks good.
 
PeroK said:
Looks good.
Thank you.
 

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