Question

4. Find the greatest number that exactly divides $306,450and540$.

Answer 1

The greatest number that exactly divides$306,450and540$ is the HCF of the numbers.

Using the prime factorization method,

$$\begin{gathered} 306=2\times 3\times 3\times 17 \\ 450=2\times 3\times 3\times 5\times 5 \\ 540=2\times 2\times 3\times 3\times 3\times 5 \end{gathered}$$

Common factors are$=2\times 3\times 3=18$

The greatest number that exactly divides$306,450and540$ is $18$