Question

hcf of 18,54,81
Find the HCF​

Answer 1

Answer:

HCF is 9.

Step-by-step explanation:

18=3*3*2

54=2*3*3*3

81=3*3*3*3

In attachment, prime factorisation is given.

By long division  method,

Refer to attachment.

Thanks.

Answer 2

Given: $18,54,\ and\ 81$

We have to find the HCF of the above numbers.

As we know that the greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

We are solving in the following way:

We have,

$18,54,\ and\ 81$

First, we will find the factors of the above numbers.

The factors of $18$ are: $1, 2, 3, 6, 9, 18$

The factors of $54$ are: $1, 2, 3, 6, 9, 18, 27, 54$

The factors of $81$ are: $1, 3, 9, 27, 81$

From the above, we can see that a number$9$ divides each of the integers.

So, the greatest common factor is$9$.

Hence, the HCF of the given numbers is$9$.