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GCD of 813, 270, 422, 309 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, 270, 422, 309 quickly. Get the easiest ways to solve the greatest common divisor of 813, 270, 422, 309 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 813, 270, 422, 309 with Factoring?

Given Input numbers are 813, 270, 422, 309

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 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 309 :

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

1, 3, 103, 309


GCD of numbers is the greatest common divisor

So, the GCD (813, 270, 422, 309) = 1.

Find GCD of 813, 270, 422, 309 using Prime Factorization

Given numbers are 813, 270, 422, 309

The list of prime factors of all numbers are

Prime factors of 813 are 3 x 271

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 422 are 2 x 211

Prime factors of 309 are 3 x 103

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

Steps to Calculate GCD of 813, 270, 422, 309 using LCM Formula

Given numbers are 813, 270, 422, 309

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

Apply this formula for all numbers.

Step1:

LCM(813, 270) = 73170

GCD(813, 270) = ( 813 x 270 ) / 73170

= 813 / 270

= 813


Step2:

LCM(3, 422) = 1266

GCD(3, 422) = ( 3 x 422 ) / 1266

= 3 / 422

= 3


Step3:

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

= 1 / 309

= 1


So, Greatest Common Divisor of 813, 270, 422, 309 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 813, 270, 422, 309

Given numbers are 813, 270, 422, 309
The greatest common divisor of numbers 813, 270, 422, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 813, 270, 422, 309 is 1.

FAQs on GCD of 813, 270, 422, 309 Calculator

1. What is the GCD of 813, 270, 422, 309?

GCD of given numbers 813, 270, 422, 309 is 1


2. How to calculate the greatest common divisor of 813, 270, 422, 309?

We can find the highest common divisor of 813, 270, 422, 309 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, 270, 422, 309 i.e 1.


3. How can I use the GCD of 813, 270, 422, 309Calculator?

Out the numbers 813, 270, 422, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.