a>b>c ? e<>f ?
a=10, b=8, c=6, e=2, f=2 : that's valid according to your post: ALL have remainder = 0.
Example where a,b,c are same at least twice:
a=16, b=15, c=12, e=2, f=3
a=16, b=15, c=12, e=4, f=3
Was that your "is it possible" question ?