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GCD of 189, 638, 508 Calculator

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


Online GCD Calculator is useful to find the GCD of 189, 638, 508 quickly. Get the easiest ways to solve the greatest common divisor of 189, 638, 508 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 189, 638, 508 with Factoring?

Given Input numbers are 189, 638, 508

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

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 638 :

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

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

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508


GCD of numbers is the greatest common divisor

So, the GCD (189, 638, 508) = 1.

Find GCD of 189, 638, 508 using Prime Factorization

Given numbers are 189, 638, 508

The list of prime factors of all numbers are

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 638 are 2 x 11 x 29

Prime factors of 508 are 2 x 2 x 127

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

Steps to Calculate GCD of 189, 638, 508 using LCM Formula

Given numbers are 189, 638, 508

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

Apply this formula for all numbers.

Step1:

LCM(189, 638) = 120582

GCD(189, 638) = ( 189 x 638 ) / 120582

= 189 / 638

= 189


Step2:

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

= 1 / 508

= 1


So, Greatest Common Divisor of 189, 638, 508 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 189, 638, 508

Given numbers are 189, 638, 508
The greatest common divisor of numbers 189, 638, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 638, 508 is 1.

FAQs on GCD of 189, 638, 508 Calculator

1. What is the GCD of 189, 638, 508?

GCD of given numbers 189, 638, 508 is 1


2. How to calculate the greatest common divisor of 189, 638, 508?

We can find the highest common divisor of 189, 638, 508 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 189, 638, 508 i.e 1.


3. How can I use the GCD of 189, 638, 508Calculator?

Out the numbers 189, 638, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.