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GCD of 564, 908, 412, 497 Calculator

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


Online GCD Calculator is useful to find the GCD of 564, 908, 412, 497 quickly. Get the easiest ways to solve the greatest common divisor of 564, 908, 412, 497 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 564, 908, 412, 497 with Factoring?

Given Input numbers are 564, 908, 412, 497

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

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 497 :

The positive integer divisors of 497 that completely divides 497 are.

1, 7, 71, 497


GCD of numbers is the greatest common divisor

So, the GCD (564, 908, 412, 497) = 1.

Find GCD of 564, 908, 412, 497 using Prime Factorization

Given numbers are 564, 908, 412, 497

The list of prime factors of all numbers are

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 908 are 2 x 2 x 227

Prime factors of 412 are 2 x 2 x 103

Prime factors of 497 are 7 x 71

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

Steps to Calculate GCD of 564, 908, 412, 497 using LCM Formula

Given numbers are 564, 908, 412, 497

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

Apply this formula for all numbers.

Step1:

LCM(564, 908) = 128028

GCD(564, 908) = ( 564 x 908 ) / 128028

= 564 / 908

= 564


Step2:

LCM(4, 412) = 412

GCD(4, 412) = ( 4 x 412 ) / 412

= 4 / 412

= 4


Step3:

LCM(4, 497) = 1988

GCD(4, 497) = ( 4 x 497 ) / 1988

= 4 / 497

= 4


So, Greatest Common Divisor of 564, 908, 412, 497 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 564, 908, 412, 497

Given numbers are 564, 908, 412, 497
The greatest common divisor of numbers 564, 908, 412, 497 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 908, 412, 497 is 1.

FAQs on GCD of 564, 908, 412, 497 Calculator

1. What is the GCD of 564, 908, 412, 497?

GCD of given numbers 564, 908, 412, 497 is 1


2. How to calculate the greatest common divisor of 564, 908, 412, 497?

We can find the highest common divisor of 564, 908, 412, 497 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 564, 908, 412, 497 i.e 1.


3. How can I use the GCD of 564, 908, 412, 497Calculator?

Out the numbers 564, 908, 412, 497 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.