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GCD of 309, 394, 691, 590 Calculator

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


Online GCD Calculator is useful to find the GCD of 309, 394, 691, 590 quickly. Get the easiest ways to solve the greatest common divisor of 309, 394, 691, 590 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 309, 394, 691, 590 with Factoring?

Given Input numbers are 309, 394, 691, 590

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

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 394 :

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

1, 2, 197, 394

Divisors of 691 :

The positive integer divisors of 691 that completely divides 691 are.

1, 691

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590


GCD of numbers is the greatest common divisor

So, the GCD (309, 394, 691, 590) = 1.

Find GCD of 309, 394, 691, 590 using Prime Factorization

Given numbers are 309, 394, 691, 590

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 394 are 2 x 197

Prime factors of 691 are 691

Prime factors of 590 are 2 x 5 x 59

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

Steps to Calculate GCD of 309, 394, 691, 590 using LCM Formula

Given numbers are 309, 394, 691, 590

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

Apply this formula for all numbers.

Step1:

LCM(309, 394) = 121746

GCD(309, 394) = ( 309 x 394 ) / 121746

= 309 / 394

= 309


Step2:

LCM(1, 691) = 691

GCD(1, 691) = ( 1 x 691 ) / 691

= 1 / 691

= 1


Step3:

LCM(1, 590) = 590

GCD(1, 590) = ( 1 x 590 ) / 590

= 1 / 590

= 1


So, Greatest Common Divisor of 309, 394, 691, 590 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 309, 394, 691, 590

Given numbers are 309, 394, 691, 590
The greatest common divisor of numbers 309, 394, 691, 590 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 394, 691, 590 is 1.

FAQs on GCD of 309, 394, 691, 590 Calculator

1. What is the GCD of 309, 394, 691, 590?

GCD of given numbers 309, 394, 691, 590 is 1


2. How to calculate the greatest common divisor of 309, 394, 691, 590?

We can find the highest common divisor of 309, 394, 691, 590 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 309, 394, 691, 590 i.e 1.


3. How can I use the GCD of 309, 394, 691, 590Calculator?

Out the numbers 309, 394, 691, 590 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.