Question

Find HCF of 18,54,81​

Answer 1

Answer:

9

Step-by-step explanation:

Highest Common Factor (HCF)

To find the HCF of 18,54,81

We need to find first all factors of 18,54,81

$\large\pink{Factors \; of \; 18}$

= 1, 2, 3, 6, 9, 18

________________________

$\large\pink{Factors \; of \; 54}$

= 1, 2, 3, 6, 9, 18, 27, 54

___________________________

$\large\pink{Factors \; of \; 81}$

= 1, 3, 9, 27, 81

___________________________

The Highest Common Factor (HCF) of 18,54,81 is 9.

___________________________

___________________________

By second method

18 = 2 × 3 × 3

= 2 × 3²

___________________________

54 = 2 × 3 × 3 × 3

= 2 × 3³

___________________________

81 = 3 × 3 × 3 × 3

= 3⁴

___________________________

In all 3 is the common number and 3² is the least power

= 3 × 3

= 9

The Highest Common Factor (HCF) of 18,54,81 is 9.

Answer 2

Answer:

The HCF of  18, 54, and 81​ is 9.

Step-by-step explanation:

Given: The numbers are 18, 54, and 81​.

We have to find the HCF of the above numbers.

• As we know, the HCF (Highest Common Factor) of two or more numbers is the highest number among all the common factors of the given numbers.
• HCF is also known as the greatest common factor.

We are solving in the following way:

We have,

The numbers are 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 9 is the highest number among all the common factors of the given numbers.

So, the greatest common factor(HCF) is 9.