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 691, 294, 13, 809 i.e. 1 largest integer that divides all the numbers equally.
GCD of 691, 294, 13, 809 is 1
GCD(691, 294, 13, 809) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 691, 294, 13, 809 is 1
GCD(691, 294, 13, 809) = 1
Given Input numbers are 691, 294, 13, 809
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 691
List of positive integer divisors of 691 that divides 691 without a remainder.
1, 691
Divisors of 294
List of positive integer divisors of 294 that divides 294 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 809
List of positive integer divisors of 809 that divides 809 without a remainder.
1, 809
Greatest Common Divisior
We found the divisors of 691, 294, 13, 809 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 691, 294, 13, 809 is 1.
Therefore, GCD of numbers 691, 294, 13, 809 is 1
Given Input Data is 691, 294, 13, 809
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 691 is 691
Prime Factorization of 294 is 2 x 3 x 7 x 7
Prime Factorization of 13 is 13
Prime Factorization of 809 is 809
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(691, 294) = 203154
GCD(691, 294) = ( 691 x 294 ) / 203154
GCD(691, 294) = 203154 / 203154
GCD(691, 294) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 13) = 13
GCD(1, 13) = ( 1 x 13 ) / 13
GCD(1, 13) = 13 / 13
GCD(1, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 809
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 809) = 809
GCD(1, 809) = ( 1 x 809 ) / 809
GCD(1, 809) = 809 / 809
GCD(1, 809) = 1
GCD of 691, 294, 13, 809 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 691, 294, 13, 809?
GCD of 691, 294, 13, 809 is 1
2. Where do I get the detailed procedure to find GCD of 691, 294, 13, 809?
You can find a detailed procedure to find GCD of 691, 294, 13, 809 on our page.
3. How to find GCD of 691, 294, 13, 809 on a calculator?
You can find the GCD of 691, 294, 13, 809 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.