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 numbers 427, 676, 89, 812 is 1
GCD(427, 676, 89, 812) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.