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 809, 354, 12, 951 i.e. 1 largest integer that divides all the numbers equally.
GCD of 809, 354, 12, 951 is 1
GCD(809, 354, 12, 951) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 809, 354, 12, 951 is 1
GCD(809, 354, 12, 951) = 1
Given Input numbers are 809, 354, 12, 951
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 809
List of positive integer divisors of 809 that divides 809 without a remainder.
1, 809
Divisors of 354
List of positive integer divisors of 354 that divides 354 without a remainder.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 951
List of positive integer divisors of 951 that divides 951 without a remainder.
1, 3, 317, 951
Greatest Common Divisior
We found the divisors of 809, 354, 12, 951 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 809, 354, 12, 951 is 1.
Therefore, GCD of numbers 809, 354, 12, 951 is 1
Given Input Data is 809, 354, 12, 951
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 809 is 809
Prime Factorization of 354 is 2 x 3 x 59
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 951 is 3 x 317
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(809, 354) = 286386
GCD(809, 354) = ( 809 x 354 ) / 286386
GCD(809, 354) = 286386 / 286386
GCD(809, 354) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 12) = 12
GCD(1, 12) = ( 1 x 12 ) / 12
GCD(1, 12) = 12 / 12
GCD(1, 12) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 951
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 951) = 951
GCD(1, 951) = ( 1 x 951 ) / 951
GCD(1, 951) = 951 / 951
GCD(1, 951) = 1
GCD of 809, 354, 12, 951 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 809, 354, 12, 951?
GCD of 809, 354, 12, 951 is 1
2. Where do I get the detailed procedure to find GCD of 809, 354, 12, 951?
You can find a detailed procedure to find GCD of 809, 354, 12, 951 on our page.
3. How to find GCD of 809, 354, 12, 951 on a calculator?
You can find the GCD of 809, 354, 12, 951 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.