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GCD of 338, 713, 422, 476 Calculator

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


Online GCD Calculator is useful to find the GCD of 338, 713, 422, 476 quickly. Get the easiest ways to solve the greatest common divisor of 338, 713, 422, 476 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 338, 713, 422, 476 with Factoring?

Given Input numbers are 338, 713, 422, 476

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

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 713 :

The positive integer divisors of 713 that completely divides 713 are.

1, 23, 31, 713

Divisors of 422 :

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

1, 2, 211, 422

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476


GCD of numbers is the greatest common divisor

So, the GCD (338, 713, 422, 476) = 1.

Find GCD of 338, 713, 422, 476 using Prime Factorization

Given numbers are 338, 713, 422, 476

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 713 are 23 x 31

Prime factors of 422 are 2 x 211

Prime factors of 476 are 2 x 2 x 7 x 17

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

Steps to Calculate GCD of 338, 713, 422, 476 using LCM Formula

Given numbers are 338, 713, 422, 476

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

Apply this formula for all numbers.

Step1:

LCM(338, 713) = 240994

GCD(338, 713) = ( 338 x 713 ) / 240994

= 338 / 713

= 338


Step2:

LCM(1, 422) = 422

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

= 1 / 422

= 1


Step3:

LCM(1, 476) = 476

GCD(1, 476) = ( 1 x 476 ) / 476

= 1 / 476

= 1


So, Greatest Common Divisor of 338, 713, 422, 476 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 338, 713, 422, 476

Given numbers are 338, 713, 422, 476
The greatest common divisor of numbers 338, 713, 422, 476 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 713, 422, 476 is 1.

FAQs on GCD of 338, 713, 422, 476 Calculator

1. What is the GCD of 338, 713, 422, 476?

GCD of given numbers 338, 713, 422, 476 is 1


2. How to calculate the greatest common divisor of 338, 713, 422, 476?

We can find the highest common divisor of 338, 713, 422, 476 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 338, 713, 422, 476 i.e 1.


3. How can I use the GCD of 338, 713, 422, 476Calculator?

Out the numbers 338, 713, 422, 476 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.