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.
elementary-number-theory ring-theory
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up vote
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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.
elementary-number-theory ring-theory
4
Hint: $28s + 35t = 7(4s+5t)$ and $gcd(4,5) = 1$.
– JavaMan
Sep 11 at 2:43
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up vote
0
down vote
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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.
elementary-number-theory ring-theory
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
elementary-number-theory ring-theory
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
add a comment |
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
add a comment |
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4
Hint: $28s + 35t = 7(4s+5t)$ and $gcd(4,5) = 1$.
– JavaMan
Sep 11 at 2:43