Question

30. The H.C.F. of 2,3 and 6 is ​

Answer 1

As per the data in the given question

In the above question given that

The given H.C.F. $2,3$ and $6$ is

The H.C.F. is known as highest common factor

To find the method of H.C.F. and $2,3,6$ are explain below,

1 . Listing common factor

2. using Euclid's algorithm

3.prime factorization method

Prime factors of $2$ are $2$ and $1$

Prime factors of $3$ are $3$ and $1$

Prime factor of $6$ are $3,2$ and $1$

The common prime factor is $1$

Hence H.C.F. of $2,3$ and $6$ is $1$.

Answer 2

Given: The numbers are$2,3 and 6$.

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,

The numbers are$2,3 and 6$

The factors of $2$ are: $1, 2$

The factors of $3$ are: $1, 3$

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

Then the greatest common factor is $1$.

Hence, the HCF of the above numbers will be$1$.