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GCD of 367, 381, 254, 422 Calculator

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


Online GCD Calculator is useful to find the GCD of 367, 381, 254, 422 quickly. Get the easiest ways to solve the greatest common divisor of 367, 381, 254, 422 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 367, 381, 254, 422 with Factoring?

Given Input numbers are 367, 381, 254, 422

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

Divisors of 367 :

The positive integer divisors of 367 that completely divides 367 are.

1, 367

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 254 :

The positive integer divisors of 254 that completely divides 254 are.

1, 2, 127, 254

Divisors of 422 :

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

1, 2, 211, 422


GCD of numbers is the greatest common divisor

So, the GCD (367, 381, 254, 422) = 1.

Find GCD of 367, 381, 254, 422 using Prime Factorization

Given numbers are 367, 381, 254, 422

The list of prime factors of all numbers are

Prime factors of 367 are 367

Prime factors of 381 are 3 x 127

Prime factors of 254 are 2 x 127

Prime factors of 422 are 2 x 211

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

Steps to Calculate GCD of 367, 381, 254, 422 using LCM Formula

Given numbers are 367, 381, 254, 422

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

Apply this formula for all numbers.

Step1:

LCM(367, 381) = 139827

GCD(367, 381) = ( 367 x 381 ) / 139827

= 367 / 381

= 367


Step2:

LCM(1, 254) = 254

GCD(1, 254) = ( 1 x 254 ) / 254

= 1 / 254

= 1


Step3:

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

= 1 / 422

= 1


So, Greatest Common Divisor of 367, 381, 254, 422 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 367, 381, 254, 422

Given numbers are 367, 381, 254, 422
The greatest common divisor of numbers 367, 381, 254, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 367, 381, 254, 422 is 1.

FAQs on GCD of 367, 381, 254, 422 Calculator

1. What is the GCD of 367, 381, 254, 422?

GCD of given numbers 367, 381, 254, 422 is 1


2. How to calculate the greatest common divisor of 367, 381, 254, 422?

We can find the highest common divisor of 367, 381, 254, 422 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 367, 381, 254, 422 i.e 1.


3. How can I use the GCD of 367, 381, 254, 422Calculator?

Out the numbers 367, 381, 254, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.