Question

Samantha has two pieces of cloth. One piece is $72$ inches wide and the other piece is $90$ inches wide. She wants to cut both pieces into strips of equal width that are as wide as possible. How wide should she cut the strips?

• A. $18$
• B. $19$
• C. $17$
• D. none of these

Answer 1

Answer: (A)

$18$

$90=2\times 3\times 3\times 5$

$72=2\times 2\times 2\times 3\times 3$

$HCF$ of $90$ and $72$ $=2\times 3\times 3=18$.

The strips should be $18$ inches wide.

So, option A is correct.