Thursday 3 May 2018

gcd and lcm - GCD of two big numbers

How to find $gcd(5^{100}-1, 5^{120}-1)$?
The problem is numbers are really big ($5^{100}$ is 70 digits).
None of the numbers is prime.
I ran Euclid's algorithm on Python and found the answer in less than a second, however it seems that there is no on-paper approach to this problem, is it?

No comments:

Post a Comment

real analysis - How to find $lim_{hrightarrow 0}frac{sin(ha)}{h}$

How to find $\lim_{h\rightarrow 0}\frac{\sin(ha)}{h}$ without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...