Question

HCF of 36,54 and 75.

Answer 1

Step-by-step explanation:

Prime Factorisation of 36

=2×2×3×3

Prime Factorisation of 54

=2×3×3×3

Prime Factorisation of 75

=3×5×5

Now Since the common no. in the Factorisation of the given three numbers is 3

Therefore, H.C.F. of 36,54 and 75 = 3

Answer 2

Answer:

Hence, value of HCF of 36, 54 and 75 will be 3

Step-by-step explanation:

In context to questions asked

We have to determine the value of HCF of 36, 54 and 75

As we know that

HCF of two or more numbers is that particular number which is highest common factor of given number.

So for determining the value of HCF we will use prime factorisation method,

Thus prime factorisation of given number will be,

$36 = 2 \times 2 \times 3 \times 3 \\ 54 = 2 \times3 \times 3 \times 3 \\ 75 = 5 \times 5 \times 3 \\ hcf = 3 \: (common \: difference)$