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GCD of 580, 772, 394, 672 Calculator

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


Online GCD Calculator is useful to find the GCD of 580, 772, 394, 672 quickly. Get the easiest ways to solve the greatest common divisor of 580, 772, 394, 672 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 580, 772, 394, 672 with Factoring?

Given Input numbers are 580, 772, 394, 672

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

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 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672


GCD of numbers is the greatest common divisor

So, the GCD (580, 772, 394, 672) = 2.

Find GCD of 580, 772, 394, 672 using Prime Factorization

Given numbers are 580, 772, 394, 672

The list of prime factors of all numbers are

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

Prime factors of 772 are 2 x 2 x 193

Prime factors of 394 are 2 x 197

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 21

Therefore, GCD of 580, 772, 394, 672 is 2.

Steps to Calculate GCD of 580, 772, 394, 672 using LCM Formula

Given numbers are 580, 772, 394, 672

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

Apply this formula for all numbers.

Step1:

LCM(580, 772) = 111940

GCD(580, 772) = ( 580 x 772 ) / 111940

= 580 / 772

= 580


Step2:

LCM(4, 394) = 788

GCD(4, 394) = ( 4 x 394 ) / 788

= 4 / 394

= 4


Step3:

LCM(2, 672) = 672

GCD(2, 672) = ( 2 x 672 ) / 672

= 2 / 672

= 2


So, Greatest Common Divisor of 580, 772, 394, 672 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 580, 772, 394, 672

Given numbers are 580, 772, 394, 672
The greatest common divisor of numbers 580, 772, 394, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 772, 394, 672 is 2.

FAQs on GCD of 580, 772, 394, 672 Calculator

1. What is the GCD of 580, 772, 394, 672?

GCD of given numbers 580, 772, 394, 672 is 2


2. How to calculate the greatest common divisor of 580, 772, 394, 672?

We can find the highest common divisor of 580, 772, 394, 672 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 580, 772, 394, 672 i.e 2.


3. How can I use the GCD of 580, 772, 394, 672Calculator?

Out the numbers 580, 772, 394, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.