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Greatest common divisor
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=== A geometric view === [[File:24x60.svg|thumb|upright|alt="Tall, slender rectangle divided into a grid of squares. The rectangle is two squares wide and five squares tall."|A 24-by-60 rectangle is covered with ten 12-by-12 square tiles, where 12 is the GCD of 24 and 60. More generally, an ''a''-by-''b'' rectangle can be covered with square tiles of side length ''c'' only if ''c'' is a common divisor of ''a'' and ''b''.]] For example, a 24-by-60 rectangular area can be divided into a grid of: 1-by-1 squares, 2-by-2 squares, 3-by-3 squares, 4-by-4 squares, 6-by-6 squares or 12-by-12 squares. Therefore, 12 is the greatest common divisor of 24 and 60. A 24-by-60 rectangular area can thus be divided into a grid of 12-by-12 squares, with two squares along one edge ({{math|1=24/12 = 2}}) and five squares along the other ({{math|1=60/12 = 5}}).
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