Answer:
20
Step-by-step explanation:
[tex]GCD(80,100)\\\\\longrightarrow 80=2^4\cdot5\\\\\longrightarrow 100=2^2\cdot5^2\\\\[/tex]
so for two is
[tex]2^2[/tex]
and for 5 is
[tex]5[/tex]
so we multiply both
[tex]\longrightarrow 2^2\cdot5 \\\\=4*5\\\\=20[/tex]
we can use the euclidean algoritm as follows
[tex]100=80(1)+20\\\\80=20(4)\:\:\:\:\:\:\:\:\uparrow gcd[/tex]
