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GCD of 813, 400, 699, 431 Calculator

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


Online GCD Calculator is useful to find the GCD of 813, 400, 699, 431 quickly. Get the easiest ways to solve the greatest common divisor of 813, 400, 699, 431 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 813, 400, 699, 431 with Factoring?

Given Input numbers are 813, 400, 699, 431

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

Divisors of 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 431 :

The positive integer divisors of 431 that completely divides 431 are.

1, 431


GCD of numbers is the greatest common divisor

So, the GCD (813, 400, 699, 431) = 1.

Find GCD of 813, 400, 699, 431 using Prime Factorization

Given numbers are 813, 400, 699, 431

The list of prime factors of all numbers are

Prime factors of 813 are 3 x 271

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 699 are 3 x 233

Prime factors of 431 are 431

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

Steps to Calculate GCD of 813, 400, 699, 431 using LCM Formula

Given numbers are 813, 400, 699, 431

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

Apply this formula for all numbers.

Step1:

LCM(813, 400) = 325200

GCD(813, 400) = ( 813 x 400 ) / 325200

= 813 / 400

= 813


Step2:

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

= 1 / 699

= 1


Step3:

LCM(1, 431) = 431

GCD(1, 431) = ( 1 x 431 ) / 431

= 1 / 431

= 1


So, Greatest Common Divisor of 813, 400, 699, 431 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 813, 400, 699, 431

Given numbers are 813, 400, 699, 431
The greatest common divisor of numbers 813, 400, 699, 431 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 813, 400, 699, 431 is 1.

FAQs on GCD of 813, 400, 699, 431 Calculator

1. What is the GCD of 813, 400, 699, 431?

GCD of given numbers 813, 400, 699, 431 is 1


2. How to calculate the greatest common divisor of 813, 400, 699, 431?

We can find the highest common divisor of 813, 400, 699, 431 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 813, 400, 699, 431 i.e 1.


3. How can I use the GCD of 813, 400, 699, 431Calculator?

Out the numbers 813, 400, 699, 431 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.