Question

Two ropes $16m$ and $20m$ long are to be cut into small pieces of equal lengths. What will be the maximum length of each piece?

• A. $5m$
• B. $4m$
• C. $7m$
• D. $10m$

Answer 1

The correct option is B $4m$

$16=2\times 2\times 2\times 2$

$20=2\times 2\times 5$

Maximum length of the piece that has to be cut$=H.C.F$ of $16m$ and $20m$

Now HCF of $16$ and $20$ is $4$

$\therefore$ Required length$=4m$