Question

what is the hcf of two consecutive number ​

Answer 1

Answer:

The HCF of two consecutive numbers is always one.

Step-by-step explanation:

The HCF of two consecutive numbers is always one. The reason behind this is that the two consecutive numbers do not have any common factor other than 1. Hence 1 becomes the highest common factor between two consecutive numbers.

EXAMPLE:-

Let us take two consecutive numbers as 5 and 6. The two numbers have 1 as a common factor and nothing else. Hence 1 is the HCF. This proves that the HCF of any two consecutive numbers is always a one.

hope it helps you....

Answer 2

Step-by-step explanation:

SOLUTION:-

THE HCF OF TWO CONSECUTIVE NUMBERS IS ALWAYS ONE.

REASON :-

THE TWO CONSECUTIVE NUMBERS DO NOT HAVE ANY COMMON FACTOR OTHER THAN 1. HENCE 1 BECOMES THE HIGHEST COMMON FACTOR BETWEEN two CONSECUTIVE NUMBERS.

EXAMPLE:-

CONSIDER ANY TWO CONSECUTIVE NUMBERS AS 5 AND 6.

THE TWO NUMBERS HAVE 1 AS A COMMON FACTOR AND NOTHING ELSE.

HENCE 1 IS THE HCF. THIS PROVES THAT THE HCF OF ANY TWO CONSECUTIVE NUMBERS ALWAYS A ONE