Py老师留了三个作业，入门级，哪个大佬给解决一下？

m = int(input())
n = int(input())
i = 1
if m > n:
    while i <= n:
        i+=1
        if m/i == int(m/i) and n/i == int(n/i):
            k = i

if n > m:
    while i <= m:
        i += 1
        if m/i == int(m/i) and n/i == int(n/i):
            k=i
if m == n:
    i+=1
    while i <= n:
        if m/i == int(m/i):
            k = i
print(k)