# Euclidean Algorithm- Maximum Number of Steps [closed]

I am trying to prove the following Euclidean Algorithm but unable to locate a similar reference.

Question: Given two numbers $m,n$, what is the maximum number of steps that will be required to find the GCD using the Euclidean Algorithm?

I was considering proving this question using Lame's Theorem but wasn't sure if that is correct. Please assist me.

## closed as off-topic by Namaste, Leucippus, The Phenotype, JonMark Perry, Parcly TaxelFeb 26 '18 at 17:30

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• "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Namaste, Leucippus, The Phenotype, JonMark Perry, Parcly Taxel
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• Please state Lame's theorem and include some more details otherwise your question would get closed. This is your first time that's why I am not going to close the question. – user152715 Feb 26 '18 at 11:09
• Have a look at some of the questions listed under Related to see whether what you want to know is already given. – Gerry Myerson Feb 26 '18 at 11:58
• Thank you for your responses. The question posed is what was given to me to prove without any other additional information which is why I need assistance. Under Related another user asked a similar question and someone pointed out Euclid's algorithm can never be more than five times the number of its digits (base 10). Would this be a good starting point? – MathStudent2 Feb 27 '18 at 2:26