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GCD of 313, 853, 512, 428 Calculator

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


Online GCD Calculator is useful to find the GCD of 313, 853, 512, 428 quickly. Get the easiest ways to solve the greatest common divisor of 313, 853, 512, 428 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 313, 853, 512, 428 with Factoring?

Given Input numbers are 313, 853, 512, 428

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

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

Divisors of 853 :

The positive integer divisors of 853 that completely divides 853 are.

1, 853

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428


GCD of numbers is the greatest common divisor

So, the GCD (313, 853, 512, 428) = 1.

Find GCD of 313, 853, 512, 428 using Prime Factorization

Given numbers are 313, 853, 512, 428

The list of prime factors of all numbers are

Prime factors of 313 are 313

Prime factors of 853 are 853

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 428 are 2 x 2 x 107

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

Steps to Calculate GCD of 313, 853, 512, 428 using LCM Formula

Given numbers are 313, 853, 512, 428

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

Apply this formula for all numbers.

Step1:

LCM(313, 853) = 266989

GCD(313, 853) = ( 313 x 853 ) / 266989

= 313 / 853

= 313


Step2:

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

= 1 / 512

= 1


Step3:

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

= 1 / 428

= 1


So, Greatest Common Divisor of 313, 853, 512, 428 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 313, 853, 512, 428

Given numbers are 313, 853, 512, 428
The greatest common divisor of numbers 313, 853, 512, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 313, 853, 512, 428 is 1.

FAQs on GCD of 313, 853, 512, 428 Calculator

1. What is the GCD of 313, 853, 512, 428?

GCD of given numbers 313, 853, 512, 428 is 1


2. How to calculate the greatest common divisor of 313, 853, 512, 428?

We can find the highest common divisor of 313, 853, 512, 428 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 313, 853, 512, 428 i.e 1.


3. How can I use the GCD of 313, 853, 512, 428Calculator?

Out the numbers 313, 853, 512, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.