Determine $d$ such that $langle d rangle = 28s +35t mid s,t in Bbb Z $

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I asked a similar question before. I imagine I have to solve



$d = 28s+35t$ such that $d$ is the least common multiple of the sum of those two numbers, but how can I determine this if I don't know the values of s and t?



Help would be appreciated.










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    Hint: $28s + 35t = 7(4s+5t)$ and $gcd(4,5) = 1$.
    – JavaMan
    Sep 11 at 2:43















up vote
0
down vote

favorite












I asked a similar question before. I imagine I have to solve



$d = 28s+35t$ such that $d$ is the least common multiple of the sum of those two numbers, but how can I determine this if I don't know the values of s and t?



Help would be appreciated.










share|cite|improve this question



















  • 4




    Hint: $28s + 35t = 7(4s+5t)$ and $gcd(4,5) = 1$.
    – JavaMan
    Sep 11 at 2:43













up vote
0
down vote

favorite









up vote
0
down vote

favorite











I asked a similar question before. I imagine I have to solve



$d = 28s+35t$ such that $d$ is the least common multiple of the sum of those two numbers, but how can I determine this if I don't know the values of s and t?



Help would be appreciated.










share|cite|improve this question















I asked a similar question before. I imagine I have to solve



$d = 28s+35t$ such that $d$ is the least common multiple of the sum of those two numbers, but how can I determine this if I don't know the values of s and t?



Help would be appreciated.







elementary-number-theory ring-theory






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share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Sep 11 at 2:43









JavaMan

10.9k12654




10.9k12654










asked Sep 11 at 2:41









DavidTomahawk

455216




455216







  • 4




    Hint: $28s + 35t = 7(4s+5t)$ and $gcd(4,5) = 1$.
    – JavaMan
    Sep 11 at 2:43













  • 4




    Hint: $28s + 35t = 7(4s+5t)$ and $gcd(4,5) = 1$.
    – JavaMan
    Sep 11 at 2:43








4




4




Hint: $28s + 35t = 7(4s+5t)$ and $gcd(4,5) = 1$.
– JavaMan
Sep 11 at 2:43





Hint: $28s + 35t = 7(4s+5t)$ and $gcd(4,5) = 1$.
– JavaMan
Sep 11 at 2:43
















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