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GCD of 712, 831, 508, 369 Calculator

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


Online GCD Calculator is useful to find the GCD of 712, 831, 508, 369 quickly. Get the easiest ways to solve the greatest common divisor of 712, 831, 508, 369 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 712, 831, 508, 369 with Factoring?

Given Input numbers are 712, 831, 508, 369

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

Divisors of 712 :

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

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

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369


GCD of numbers is the greatest common divisor

So, the GCD (712, 831, 508, 369) = 1.

Find GCD of 712, 831, 508, 369 using Prime Factorization

Given numbers are 712, 831, 508, 369

The list of prime factors of all numbers are

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

Prime factors of 831 are 3 x 277

Prime factors of 508 are 2 x 2 x 127

Prime factors of 369 are 3 x 3 x 41

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

Steps to Calculate GCD of 712, 831, 508, 369 using LCM Formula

Given numbers are 712, 831, 508, 369

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

Apply this formula for all numbers.

Step1:

LCM(712, 831) = 591672

GCD(712, 831) = ( 712 x 831 ) / 591672

= 712 / 831

= 712


Step2:

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

= 1 / 508

= 1


Step3:

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

= 1 / 369

= 1


So, Greatest Common Divisor of 712, 831, 508, 369 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 712, 831, 508, 369

Given numbers are 712, 831, 508, 369
The greatest common divisor of numbers 712, 831, 508, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 712, 831, 508, 369 is 1.

FAQs on GCD of 712, 831, 508, 369 Calculator

1. What is the GCD of 712, 831, 508, 369?

GCD of given numbers 712, 831, 508, 369 is 1


2. How to calculate the greatest common divisor of 712, 831, 508, 369?

We can find the highest common divisor of 712, 831, 508, 369 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 712, 831, 508, 369 i.e 1.


3. How can I use the GCD of 712, 831, 508, 369Calculator?

Out the numbers 712, 831, 508, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.