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GCD of 596, 696, 321, 576 Calculator

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


Online GCD Calculator is useful to find the GCD of 596, 696, 321, 576 quickly. Get the easiest ways to solve the greatest common divisor of 596, 696, 321, 576 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 596, 696, 321, 576 with Factoring?

Given Input numbers are 596, 696, 321, 576

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

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576


GCD of numbers is the greatest common divisor

So, the GCD (596, 696, 321, 576) = 1.

Find GCD of 596, 696, 321, 576 using Prime Factorization

Given numbers are 596, 696, 321, 576

The list of prime factors of all numbers are

Prime factors of 596 are 2 x 2 x 149

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 321 are 3 x 107

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Steps to Calculate GCD of 596, 696, 321, 576 using LCM Formula

Given numbers are 596, 696, 321, 576

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

Apply this formula for all numbers.

Step1:

LCM(596, 696) = 103704

GCD(596, 696) = ( 596 x 696 ) / 103704

= 596 / 696

= 596


Step2:

LCM(4, 321) = 1284

GCD(4, 321) = ( 4 x 321 ) / 1284

= 4 / 321

= 4


Step3:

LCM(1, 576) = 576

GCD(1, 576) = ( 1 x 576 ) / 576

= 1 / 576

= 1


So, Greatest Common Divisor of 596, 696, 321, 576 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 596, 696, 321, 576

Given numbers are 596, 696, 321, 576
The greatest common divisor of numbers 596, 696, 321, 576 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 596, 696, 321, 576 is 1.

FAQs on GCD of 596, 696, 321, 576 Calculator

1. What is the GCD of 596, 696, 321, 576?

GCD of given numbers 596, 696, 321, 576 is 1


2. How to calculate the greatest common divisor of 596, 696, 321, 576?

We can find the highest common divisor of 596, 696, 321, 576 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 596, 696, 321, 576 i.e 1.


3. How can I use the GCD of 596, 696, 321, 576Calculator?

Out the numbers 596, 696, 321, 576 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.