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











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















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













up vote
0
down vote

favorite









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















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






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








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















active

oldest

votes











Your Answer





StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");

StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);

StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});

function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});


}
});














draft saved

draft discarded


















StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3002468%2fdivide-a-number-in-k-parts-such-that-gcd-of-the-part-is-maximum%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown






























active

oldest

votes













active

oldest

votes









active

oldest

votes






active

oldest

votes
















draft saved

draft discarded




















































Thanks for contributing an answer to Mathematics Stack Exchange!


  • Please be sure to answer the question. Provide details and share your research!

But avoid



  • Asking for help, clarification, or responding to other answers.

  • Making statements based on opinion; back them up with references or personal experience.


Use MathJax to format equations. MathJax reference.


To learn more, see our tips on writing great answers.





Some of your past answers have not been well-received, and you're in danger of being blocked from answering.


Please pay close attention to the following guidance:


  • Please be sure to answer the question. Provide details and share your research!

But avoid



  • Asking for help, clarification, or responding to other answers.

  • Making statements based on opinion; back them up with references or personal experience.


To learn more, see our tips on writing great answers.




draft saved


draft discarded














StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3002468%2fdivide-a-number-in-k-parts-such-that-gcd-of-the-part-is-maximum%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown





















































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown

































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown







Popular posts from this blog

Plaza Victoria

Puebla de Zaragoza

Musa