Question

Two sticks of 8 cm and 12 cm long are divided into smaller pieces of equal and maximum possible length. What is the length of each stick?

• A. 2 cm
• B. 3 cm
• C. 4 cm
• D. 5 cm

Answer 1

The correct option is C 4 cm

To find the maximum possible length of smaller pieces, we need to find the GCF of the lengths of the two sticks.

Factors of 8:


Factors of 12:


Let us find out the common factors of both the numbers using a Venn diagram.


The common factors are 1, 2, and 4.
$\therefore$ GCF = 4

So, the maximum possible equal length that can be cut from both the sticks is 4 cm.