Question

the HCF of 2 successive even nuomber is​

Answer 1

Step-by-step explanation:

Both the pairs have 2 as their HCF. Both the pair's have 2 as their HCF. In case of two consecutive numbers.The highest common factor is 2.They don't have any other factor than 1 common to them.Hence HCF of two consecutive even numbers is 2.

Answer 2

Answer:

The HCF of two consecutive even numbers is 2.

Step-by-step explanation:

To find: HCF of any two consecutive even numbers

To find the solution let us consider that

Let any two consecutive even numbers be 2a and 2a+2

Now let us find the HCF of the two even numbers which we have considered

That is HCF of 2a and 2a+2

By finding the highest common factor

We get HCF of 2a and 2a+2 as 2

Hence the HCF any two consecutive even number is 2

Check:

To find HCF of 2, 4 where the two numbers are consecutive even numbers

Let us find the HCF of 2, 4

We get the factors as factors of 2 =2

Factors of 4 =2 x 2

Hence 2 is the highest common factor of 2, 4

Hence verified