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GCD of 316, 712, 674, 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 316, 712, 674, 790 quickly. Get the easiest ways to solve the greatest common divisor of 316, 712, 674, 790 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 316, 712, 674, 790 with Factoring?

Given Input numbers are 316, 712, 674, 790

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

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 674 :

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

1, 2, 337, 674

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 (316, 712, 674, 790) = 2.

Find GCD of 316, 712, 674, 790 using Prime Factorization

Given numbers are 316, 712, 674, 790

The list of prime factors of all numbers are

Prime factors of 316 are 2 x 2 x 79

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 674 are 2 x 337

Prime factors of 790 are 2 x 5 x 79

The highest common occurrence is 21

Therefore, GCD of 316, 712, 674, 790 is 2.

Steps to Calculate GCD of 316, 712, 674, 790 using LCM Formula

Given numbers are 316, 712, 674, 790

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

Apply this formula for all numbers.

Step1:

LCM(316, 712) = 56248

GCD(316, 712) = ( 316 x 712 ) / 56248

= 316 / 712

= 316


Step2:

LCM(4, 674) = 1348

GCD(4, 674) = ( 4 x 674 ) / 1348

= 4 / 674

= 4


Step3:

LCM(2, 790) = 790

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

= 2 / 790

= 2


So, Greatest Common Divisor of 316, 712, 674, 790 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 316, 712, 674, 790

Given numbers are 316, 712, 674, 790
The greatest common divisor of numbers 316, 712, 674, 790 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 316, 712, 674, 790 is 2.

FAQs on GCD of 316, 712, 674, 790 Calculator

1. What is the GCD of 316, 712, 674, 790?

GCD of given numbers 316, 712, 674, 790 is 2


2. How to calculate the greatest common divisor of 316, 712, 674, 790?

We can find the highest common divisor of 316, 712, 674, 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 316, 712, 674, 790 i.e 2.


3. How can I use the GCD of 316, 712, 674, 790Calculator?

Out the numbers 316, 712, 674, 790 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.