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GCD of 422, 824, 789, 992 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 422, 824, 789, 992 quickly. Get the easiest ways to solve the greatest common divisor of 422, 824, 789, 992 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 422, 824, 789, 992 with Factoring?

Given Input numbers are 422, 824, 789, 992

In the factoring method, we have to find the divisors of all numbers

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992


GCD of numbers is the greatest common divisor

So, the GCD (422, 824, 789, 992) = 1.

Find GCD of 422, 824, 789, 992 using Prime Factorization

Given numbers are 422, 824, 789, 992

The list of prime factors of all numbers are

Prime factors of 422 are 2 x 211

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 789 are 3 x 263

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 422, 824, 789, 992 using LCM Formula

Given numbers are 422, 824, 789, 992

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(422, 824) = 173864

GCD(422, 824) = ( 422 x 824 ) / 173864

= 422 / 824

= 422


Step2:

LCM(2, 789) = 1578

GCD(2, 789) = ( 2 x 789 ) / 1578

= 2 / 789

= 2


Step3:

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

= 1 / 992

= 1


So, Greatest Common Divisor of 422, 824, 789, 992 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 422, 824, 789, 992

Given numbers are 422, 824, 789, 992
The greatest common divisor of numbers 422, 824, 789, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 422, 824, 789, 992 is 1.

FAQs on GCD of 422, 824, 789, 992 Calculator

1. What is the GCD of 422, 824, 789, 992?

GCD of given numbers 422, 824, 789, 992 is 1


2. How to calculate the greatest common divisor of 422, 824, 789, 992?

We can find the highest common divisor of 422, 824, 789, 992 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 422, 824, 789, 992 i.e 1.


3. How can I use the GCD of 422, 824, 789, 992Calculator?

Out the numbers 422, 824, 789, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.