GCD of 427, 676, 89, 812 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 427, 676, 89, 812 i.e. 1 largest integer that divides all the numbers equally.

GCD of 427, 676, 89, 812 is 1

GCD(427, 676, 89, 812) = 1

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

GCD of

GCD of numbers 427, 676, 89, 812 is 1

GCD(427, 676, 89, 812) = 1

GCD of 427,676,89,812 Calculator

GCDof 427,676,89,812 is 1

Given Input numbers are 427, 676, 89, 812

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

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Greatest Common Divisior

We found the divisors of 427, 676, 89, 812 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 427, 676, 89, 812 is 1.

Therefore, GCD of numbers 427, 676, 89, 812 is 1

Finding GCD of 427, 676, 89, 812 using Prime Factorization

Given Input Data is 427, 676, 89, 812

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

Prime Factorization of 427 is 7 x 61

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 89 is 89

Prime Factorization of 812 is 2 x 2 x 7 x 29

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

Finding GCD of 427, 676, 89, 812 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(427, 676) = 288652

GCD(427, 676) = ( 427 x 676 ) / 288652

GCD(427, 676) = 288652 / 288652

GCD(427, 676) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 89

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

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 812

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

LCM(1, 812) = 812

GCD(1, 812) = ( 1 x 812 ) / 812

GCD(1, 812) = 812 / 812

GCD(1, 812) = 1

GCD of 427, 676, 89, 812 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 427, 676, 89, 812

1. What is the GCD of 427, 676, 89, 812?

GCD of 427, 676, 89, 812 is 1


2. Where do I get the detailed procedure to find GCD of 427, 676, 89, 812?

You can find a detailed procedure to find GCD of 427, 676, 89, 812 on our page.


3. How to find GCD of 427, 676, 89, 812 on a calculator?

You can find the GCD of 427, 676, 89, 812 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.