What is the HCF of Two Consecutive Numbers

Answer: The greatest common divisor (GCD) for two or more non-zero numbers is the biggest positive number that divides each one of the integers in mathematics. The greatest common divisor for two numbers x and y is abbreviated gcd (x,y). A GCD for 8 & 12 is, for instance, 4, meaning gcd(8,12)=4.

The word “greatest” can be substituted by “highest.” Also, the term “divisor” can be substituted by “factor,” resulting in various names such as highest common factor (HCF) and so forth. Other names for the same notion in the past have included the greatest common measure. 

The highest factor that divides two or even more integers is the Highest Common Factor (HCF). Two consecutive numbers’ HCF has always been one. The explanation is that apart from 1, the two successive integers do not have any common element. As a result, 1 will be the HCF of two consecutive numbers.

• The HCF of two consecutive numbers is 1.
• The HCF of two consecutive even integers is 2.
• The HCF of two consecutive odd integers is 1.
• The HCF of two co-primes is 1.

For Instance:

Take the numbers 5 and 6 in consecutive.

The only common factor between the two integers is 1.

As a result, 1 is the HCF.

This demonstrates that the HCF of almost any pair of consecutive integers will always be one.

The common factor for computing the HCF of two consecutive even integers is 2.

For Example, 2 and 4 are consecutive even integers.

2 and 4 have an HCF of 2.

As a result, the HCF of two consecutive even numbers equals 2.

The HCF of two consecutive odd numbers is 1.

For Example, 3 and 5 are consecutive odd numbers.

3 and 5 have an HCF of 1.

As a result, the HCF of two consecutive odd numbers equals 1.