divide a number in k parts such that GCD of the part is maximum











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You have been given a number $N$. You have to divide it in exactly $k$ parts such that the gcd of the $k$ parts is maximal.










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    What do you want? An algorithm? Some bounds on the GCD? It is also useful to post what you have thought about so far : it helps others on the site.
    – астон вілла олоф мэллбэрг
    Nov 17 at 15:30










  • Also, you might want to consider writing the question in slightly more mathematical form, if possible.
    – random123
    Nov 17 at 15:34










  • @Tanukumar HINT: The GCD of a bunch of numbers can never be bigger than the smallest of the numbers.
    – Frpzzd
    Nov 17 at 15:36















up vote
0
down vote

favorite












You have been given a number $N$. You have to divide it in exactly $k$ parts such that the gcd of the $k$ parts is maximal.










share|cite|improve this question




















  • 1




    What do you want? An algorithm? Some bounds on the GCD? It is also useful to post what you have thought about so far : it helps others on the site.
    – астон вілла олоф мэллбэрг
    Nov 17 at 15:30










  • Also, you might want to consider writing the question in slightly more mathematical form, if possible.
    – random123
    Nov 17 at 15:34










  • @Tanukumar HINT: The GCD of a bunch of numbers can never be bigger than the smallest of the numbers.
    – Frpzzd
    Nov 17 at 15:36













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0
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up vote
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down vote

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You have been given a number $N$. You have to divide it in exactly $k$ parts such that the gcd of the $k$ parts is maximal.










share|cite|improve this question















You have been given a number $N$. You have to divide it in exactly $k$ parts such that the gcd of the $k$ parts is maximal.







elementary-number-theory






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edited Nov 17 at 16:19









klirk

2,220428




2,220428










asked Nov 17 at 15:22









Tanu kumar

11




11








  • 1




    What do you want? An algorithm? Some bounds on the GCD? It is also useful to post what you have thought about so far : it helps others on the site.
    – астон вілла олоф мэллбэрг
    Nov 17 at 15:30










  • Also, you might want to consider writing the question in slightly more mathematical form, if possible.
    – random123
    Nov 17 at 15:34










  • @Tanukumar HINT: The GCD of a bunch of numbers can never be bigger than the smallest of the numbers.
    – Frpzzd
    Nov 17 at 15:36














  • 1




    What do you want? An algorithm? Some bounds on the GCD? It is also useful to post what you have thought about so far : it helps others on the site.
    – астон вілла олоф мэллбэрг
    Nov 17 at 15:30










  • Also, you might want to consider writing the question in slightly more mathematical form, if possible.
    – random123
    Nov 17 at 15:34










  • @Tanukumar HINT: The GCD of a bunch of numbers can never be bigger than the smallest of the numbers.
    – Frpzzd
    Nov 17 at 15:36








1




1




What do you want? An algorithm? Some bounds on the GCD? It is also useful to post what you have thought about so far : it helps others on the site.
– астон вілла олоф мэллбэрг
Nov 17 at 15:30




What do you want? An algorithm? Some bounds on the GCD? It is also useful to post what you have thought about so far : it helps others on the site.
– астон вілла олоф мэллбэрг
Nov 17 at 15:30












Also, you might want to consider writing the question in slightly more mathematical form, if possible.
– random123
Nov 17 at 15:34




Also, you might want to consider writing the question in slightly more mathematical form, if possible.
– random123
Nov 17 at 15:34












@Tanukumar HINT: The GCD of a bunch of numbers can never be bigger than the smallest of the numbers.
– Frpzzd
Nov 17 at 15:36




@Tanukumar HINT: The GCD of a bunch of numbers can never be bigger than the smallest of the numbers.
– Frpzzd
Nov 17 at 15:36















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