Question

2. The H.C.F of any two consecutive even numbers is always

Answer 1

Answer:

2

Step-by-step explanation:

Let us take an example.

Assume that two even numbers are 4 and 6.

Prime factorisation :

4 = 2 × 2 × 1

6 = 2 × 3 × 1

As we know, HCF refer to the multiplication of common terms between the prime factorisation of all the numbers.

Hence,

HCF (4, 6) = 2 × 1 = 2