Question

The sum of four natural numbers is 1111. Find the largeest possible values of highest common factor of these four numbers.

Answer 1

Name these numbers to look for is a, b, c, and d

Set \(a\ge b\ge c\ge d\ge0\)

\(a+b+c+d=1111\\ \Rightarrow a=1111-b-c-d\\ a=1111-\left(b+c+d\right)\)

b, c, and d are natural numbers, so \(b,c,d\ge0\Rightarrow b+c+d\ge0\Rightarrow a\le1111\)

The largest possible values of the highest common factor of these four numbers is 1111

Answer 2

Ai rảnh check ngữ pháp giùm nha

Answer 3

sửa set thành give nha