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GCD of 364, 568, 742, 591 Calculator

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


Online GCD Calculator is useful to find the GCD of 364, 568, 742, 591 quickly. Get the easiest ways to solve the greatest common divisor of 364, 568, 742, 591 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 364, 568, 742, 591 with Factoring?

Given Input numbers are 364, 568, 742, 591

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 568 :

The positive integer divisors of 568 that completely divides 568 are.

1, 2, 4, 8, 71, 142, 284, 568

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 591 :

The positive integer divisors of 591 that completely divides 591 are.

1, 3, 197, 591


GCD of numbers is the greatest common divisor

So, the GCD (364, 568, 742, 591) = 1.

Find GCD of 364, 568, 742, 591 using Prime Factorization

Given numbers are 364, 568, 742, 591

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 568 are 2 x 2 x 2 x 71

Prime factors of 742 are 2 x 7 x 53

Prime factors of 591 are 3 x 197

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

Steps to Calculate GCD of 364, 568, 742, 591 using LCM Formula

Given numbers are 364, 568, 742, 591

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

Apply this formula for all numbers.

Step1:

LCM(364, 568) = 51688

GCD(364, 568) = ( 364 x 568 ) / 51688

= 364 / 568

= 364


Step2:

LCM(4, 742) = 1484

GCD(4, 742) = ( 4 x 742 ) / 1484

= 4 / 742

= 4


Step3:

LCM(2, 591) = 1182

GCD(2, 591) = ( 2 x 591 ) / 1182

= 2 / 591

= 2


So, Greatest Common Divisor of 364, 568, 742, 591 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 364, 568, 742, 591

Given numbers are 364, 568, 742, 591
The greatest common divisor of numbers 364, 568, 742, 591 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 568, 742, 591 is 1.

FAQs on GCD of 364, 568, 742, 591 Calculator

1. What is the GCD of 364, 568, 742, 591?

GCD of given numbers 364, 568, 742, 591 is 1


2. How to calculate the greatest common divisor of 364, 568, 742, 591?

We can find the highest common divisor of 364, 568, 742, 591 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 364, 568, 742, 591 i.e 1.


3. How can I use the GCD of 364, 568, 742, 591Calculator?

Out the numbers 364, 568, 742, 591 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.