Question

write the HCF of two consecutive even number

Answer 1

hope it helps you

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 = 2 x 1

4 = 2 x 2

6 = 2 x 3

8= 2 x 4

……………………so on

32 = 2 x 16

34 = 2 x 17

36 = 2 x 18

…………… so on…

Since 2 consecutive natural numbers have no common factor except 1

So, HCF of 2 even consecutive numbers = 2

Answer 2

2 is the HCF of two consecutive even number.