Question

Equal sizes of ribbon tape are to be cut from two cotton rolls of length $16\text{m}$ and $18\text{m}.$ Find the largest size of the ribbon tape such that there is no leftover.

• A. 1 m
• B. 2 m
• C. 3 m
• D. 4 m

Answer 1

The correct option is B 2 m

The largest possible size of the ribbon tape with no leftover is given by the greatest common factor of $16\text{m}$ and $18\text{m}.$

Using prime factorization,
$16=2\times 2\times 2\times 2$
$18=2\times 3\times 3$

$\therefore$ GCD $=2$

Hence, the size of the largest possible ribbon tape is $2\text{m}.$