Question

answer fast plzz
what is the H.C.F of two consecutive even number.

Answer 1

Answer:

2

Step-by-step explanation:

Take any 2 consecutive even numbers, One factor of each will be 2 & the other factor of both will be 2 cosecutive natural numbers.. , in which one will be odd . like..

2=2x1

4=2x2

6=2x3

8=2x4

32=2x16

34=2x17

36=2x18

Since 2 consecutive natural numbers have no common factor except 1

So, HCF of 2 even consecutive numbers =2

Answer 2

Answer :-

HCF of two consecutive even number is 2.

Explanation - As even number is always divisible by 2, every even number will have it's one of the factor as 2.

For two consecutive even numbers, the HCF of the numbers will always be 2.

For e.g. - Let's take 2 consecutive numbers, 4 and 6.

Factors of 4 - 1 , 2 , 4

Factors of 6 - 1, 2 , 3 , 6

Here, we can see that HCF is 2.

So for all the consecutive even numbers, HCF will always be 2.