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Math Help - Abstract- divisisbility

  1. #1
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    Abstract- divisisbility

    Show that if a | c and b | c, and (a, b) = d, then ab | cd.




    Abstract divisibility.
    We have c=am, c=bn, and d=an+bm.
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  2. #2
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    Could I multiply d=an+bm by c.
    Then I have cd=acn+bcm
    We have cd=c(an+bm)
    cd=cd
    Thus, ab | cd
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  3. #3
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    Does that make sense or should I have:
    cd=c(an+bm)
    I think somehow I need to get c(an+bm) to be of the form abr, right?
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