GCD of 456, 207, 80, 324 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 456, 207, 80, 324 i.e. 1 largest integer that divides all the numbers equally.

GCD of 456, 207, 80, 324 is 1

GCD(456, 207, 80, 324) = 1

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

GCD of

GCD of numbers 456, 207, 80, 324 is 1

GCD(456, 207, 80, 324) = 1

GCD of 456,207,80,324 Calculator

GCDof 456,207,80,324 is 1

Given Input numbers are 456, 207, 80, 324

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

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

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Greatest Common Divisior

We found the divisors of 456, 207, 80, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 207, 80, 324 is 1.

Therefore, GCD of numbers 456, 207, 80, 324 is 1

Finding GCD of 456, 207, 80, 324 using Prime Factorization

Given Input Data is 456, 207, 80, 324

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

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

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

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

Finding GCD of 456, 207, 80, 324 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(456, 207) = 31464

GCD(456, 207) = ( 456 x 207 ) / 31464

GCD(456, 207) = 94392 / 31464

GCD(456, 207) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 80

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

LCM(3, 80) = 240

GCD(3, 80) = ( 3 x 80 ) / 240

GCD(3, 80) = 240 / 240

GCD(3, 80) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 324

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

LCM(1, 324) = 324

GCD(1, 324) = ( 1 x 324 ) / 324

GCD(1, 324) = 324 / 324

GCD(1, 324) = 1

GCD of 456, 207, 80, 324 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 456, 207, 80, 324

1. What is the GCD of 456, 207, 80, 324?

GCD of 456, 207, 80, 324 is 1


2. Where do I get the detailed procedure to find GCD of 456, 207, 80, 324?

You can find a detailed procedure to find GCD of 456, 207, 80, 324 on our page.


3. How to find GCD of 456, 207, 80, 324 on a calculator?

You can find the GCD of 456, 207, 80, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.