A rectangular board measures 126 cm by 90 cm it can be divided into squares of equal size. Find the least number of squares the game board can be divided into.

Question

Mathematics

Hobbs

9 November, 16:39

A rectangular board measures 126 cm by 90 cm it can be divided into squares of equal size. Find the least number of squares the game board can be divided into.

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Answers (1)

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Lynx · Answer 1

A square has the same width and height, so find the gcd of 90 and 126. Here are there factors:

90:1,2,3,5,9,10,15,18,30,45,90

126:2,3,6, 7,9,14,18,21,42,63,126

18 is the largest in both so the number of squares will be

90/18 * 126/18

= 5*7 = 35