Question

find the HCF of 336,240 and 96
please tell me​

Answer 1

Answer: HCF= 48

Step-by-step explanation:

Answer 2

Answer : HCF of 336,240 and 96 is 48.

Explanation :-

Given :

find the HCF of 336,240 and 96 ?

Finding HCF by prime factorisation :-

Prime. factors of 336, 240 and 96 are as follows -

336 = 2 × 2 × 2 × 2 × 3 × 7

240 = 2 × 2 × 2 × 2 × 3 × 5

96 = 2 × 2 × 2 × 2 × 2 × 3

Since, the common prime factors are 2 and 3

So, Common prime factors with the lowest exponent :-

$= > {2}^{4} \times {3}^{1}$

$= > 2 \times 2 \times 2 \times 2 \times 3 = 48$

Hence, HCF of 336,240 and 96 is 48.