Question

find the hcf of 3^3×5^4 and 3^4×5^2​

Answer 1

Step-by-step explanation:

3 x 5x 2

hcf= 30

mark my answer

Answer 2

HCF = ${3}^{3} \times {5}^{2}$

Given :-

${3}^{3} \times {5}^{4} \: \: and \: {3}^{4} \times {5}^{2}$

To Find:- HCF (Highest Common Factor)

Solution:-

As we know, HCF is the greatest common divisor of the given two or more numbers

Divisor of ${3}^{3} \times {5}^{4}$ are :-

$3 \times 3 \times 3 \times 5 \times 5 \times 5 \times 5$

Divisor of ${3}^{4} \times {5}^{2}$ are :-

$3 \times 3 \times 3 \times 3 \times 5 \times 5$

The Highest number that divides both the numbers is

$3 \times 3 \times 3 \times 5 \times 5$

That is :-

${3}^{3} \times {5}^{2}$

Hence, HCF=

${3}^{3 } \times {5}^{2}$