A rectangular metal sheet measuring 52 * 78 cm should be cut into the smallest number of identical squares.

A rectangular metal sheet measuring 52 * 78 cm should be cut into the smallest number of identical squares. How many such squares can be obtained and what sizes each of them has.

To get the smallest number of squares, you need to pick up the squares with the largest possible side length.

1) The length of the side of the square is the greatest common factor of 52 and 78:

GCD (52; 78) = 26.

So the side of the square is 26 cm.

2) Find the area of the resulting square:

26 * 26 = 676 (cm ^ 2).

3) Determine the area of the metal sheet:

52 * 78 = 4 056 (cm ^ 2).

4) Find how many squares you get:

4 056: 676 = 6 (squares).

Answer: 6 squares can be obtained from a metal sheet.