Question

Find the H.C.F of the following numbers:$12,45,75$

Answer 1

Find the HCF of the given numbers

HCF or the highest common factor of two numbers is the largest number which is a factor of both the numbers.

Factorise $12,45,75$

$\begin{array}{rcl}12& =& 1\times 2\times 2\times 3\\ 45& =& 1\times 3\times 3\times 5\\ 75& =& 1\times 3\times 5\times 5\end{array}$

So, the common factors are$1,3$

The highest among all common factors is $3$

Hence, HCF of $12,45$ and $75$is $3$