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GCD of 638, 162, 580, 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 638, 162, 580, 476 quickly. Get the easiest ways to solve the greatest common divisor of 638, 162, 580, 476 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 638, 162, 580, 476 with Factoring?

Given Input numbers are 638, 162, 580, 476

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

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

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 (638, 162, 580, 476) = 2.

Find GCD of 638, 162, 580, 476 using Prime Factorization

Given numbers are 638, 162, 580, 476

The list of prime factors of all numbers are

Prime factors of 638 are 2 x 11 x 29

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 580 are 2 x 2 x 5 x 29

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

The highest common occurrence is 21

Therefore, GCD of 638, 162, 580, 476 is 2.

Steps to Calculate GCD of 638, 162, 580, 476 using LCM Formula

Given numbers are 638, 162, 580, 476

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

Apply this formula for all numbers.

Step1:

LCM(638, 162) = 51678

GCD(638, 162) = ( 638 x 162 ) / 51678

= 638 / 162

= 638


Step2:

LCM(2, 580) = 580

GCD(2, 580) = ( 2 x 580 ) / 580

= 2 / 580

= 2


Step3:

LCM(2, 476) = 476

GCD(2, 476) = ( 2 x 476 ) / 476

= 2 / 476

= 2


So, Greatest Common Divisor of 638, 162, 580, 476 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 638, 162, 580, 476

Given numbers are 638, 162, 580, 476
The greatest common divisor of numbers 638, 162, 580, 476 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 638, 162, 580, 476 is 2.

FAQs on GCD of 638, 162, 580, 476 Calculator

1. What is the GCD of 638, 162, 580, 476?

GCD of given numbers 638, 162, 580, 476 is 2


2. How to calculate the greatest common divisor of 638, 162, 580, 476?

We can find the highest common divisor of 638, 162, 580, 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 638, 162, 580, 476 i.e 2.


3. How can I use the GCD of 638, 162, 580, 476Calculator?

Out the numbers 638, 162, 580, 476 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.