Question

What is the HCF of two consecutive
even
number?​

Answer 1

Answer:

So, HCF of 2 even consecutive numbers =2.

Step-by-step explanation:

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Answer 2

Answer:

H. C. F. of any two consecutive even numbers = 2

Step-by-step explanation:

Let 2n,(2n+2) are two consecutive even Numbers.

2n = 2×n

2n+2 = 2(n+2) = 2×(n+2)  

HCF(2n,2n+2)= 2  

Product of the smallest power of each common prime factors of the numbers

Therefore,

H. C. F. of any two consecutive even numbers = 2

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