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GCD of 604, 674, 506, 790 Calculator

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


Online GCD Calculator is useful to find the GCD of 604, 674, 506, 790 quickly. Get the easiest ways to solve the greatest common divisor of 604, 674, 506, 790 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 604, 674, 506, 790 with Factoring?

Given Input numbers are 604, 674, 506, 790

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

Divisors of 604 :

The positive integer divisors of 604 that completely divides 604 are.

1, 2, 4, 151, 302, 604

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790


GCD of numbers is the greatest common divisor

So, the GCD (604, 674, 506, 790) = 2.

Find GCD of 604, 674, 506, 790 using Prime Factorization

Given numbers are 604, 674, 506, 790

The list of prime factors of all numbers are

Prime factors of 604 are 2 x 2 x 151

Prime factors of 674 are 2 x 337

Prime factors of 506 are 2 x 11 x 23

Prime factors of 790 are 2 x 5 x 79

The highest common occurrence is 21

Therefore, GCD of 604, 674, 506, 790 is 2.

Steps to Calculate GCD of 604, 674, 506, 790 using LCM Formula

Given numbers are 604, 674, 506, 790

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

Apply this formula for all numbers.

Step1:

LCM(604, 674) = 203548

GCD(604, 674) = ( 604 x 674 ) / 203548

= 604 / 674

= 604


Step2:

LCM(2, 506) = 506

GCD(2, 506) = ( 2 x 506 ) / 506

= 2 / 506

= 2


Step3:

LCM(2, 790) = 790

GCD(2, 790) = ( 2 x 790 ) / 790

= 2 / 790

= 2


So, Greatest Common Divisor of 604, 674, 506, 790 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 604, 674, 506, 790

Given numbers are 604, 674, 506, 790
The greatest common divisor of numbers 604, 674, 506, 790 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 604, 674, 506, 790 is 2.

FAQs on GCD of 604, 674, 506, 790 Calculator

1. What is the GCD of 604, 674, 506, 790?

GCD of given numbers 604, 674, 506, 790 is 2


2. How to calculate the greatest common divisor of 604, 674, 506, 790?

We can find the highest common divisor of 604, 674, 506, 790 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 604, 674, 506, 790 i.e 2.


3. How can I use the GCD of 604, 674, 506, 790Calculator?

Out the numbers 604, 674, 506, 790 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.