GCD of 711, 364, 456 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 711, 364, 456 i.e. 1 largest integer that divides all the numbers equally.

GCD of 711, 364, 456 is 1

GCD(711, 364, 456) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 711, 364, 456 is 1

GCD(711, 364, 456) = 1

GCD of 711,364,456 Calculator

GCDof 711,364,456 is 1

Given Input numbers are 711, 364, 456

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Greatest Common Divisior

We found the divisors of 711, 364, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 711, 364, 456 is 1.

Therefore, GCD of numbers 711, 364, 456 is 1

Finding GCD of 711, 364, 456 using Prime Factorization

Given Input Data is 711, 364, 456

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 711 is 3 x 3 x 79

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

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

Finding GCD of 711, 364, 456 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(711, 364) = 258804

GCD(711, 364) = ( 711 x 364 ) / 258804

GCD(711, 364) = 258804 / 258804

GCD(711, 364) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 456

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

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 1

GCD of 711, 364, 456 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 711, 364, 456

1. What is the GCD of 711, 364, 456?

GCD of 711, 364, 456 is 1


2. Where do I get the detailed procedure to find GCD of 711, 364, 456?

You can find a detailed procedure to find GCD of 711, 364, 456 on our page.


3. How to find GCD of 711, 364, 456 on a calculator?

You can find the GCD of 711, 364, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.