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 686, 809, 271, 502 i.e. 1 largest integer that divides all the numbers equally.
GCD of 686, 809, 271, 502 is 1
GCD(686, 809, 271, 502) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 686, 809, 271, 502 is 1
GCD(686, 809, 271, 502) = 1
Given Input numbers are 686, 809, 271, 502
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 686
List of positive integer divisors of 686 that divides 686 without a remainder.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 809
List of positive integer divisors of 809 that divides 809 without a remainder.
1, 809
Divisors of 271
List of positive integer divisors of 271 that divides 271 without a remainder.
1, 271
Divisors of 502
List of positive integer divisors of 502 that divides 502 without a remainder.
1, 2, 251, 502
Greatest Common Divisior
We found the divisors of 686, 809, 271, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 809, 271, 502 is 1.
Therefore, GCD of numbers 686, 809, 271, 502 is 1
Given Input Data is 686, 809, 271, 502
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 686 is 2 x 7 x 7 x 7
Prime Factorization of 809 is 809
Prime Factorization of 271 is 271
Prime Factorization of 502 is 2 x 251
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(686, 809) = 554974
GCD(686, 809) = ( 686 x 809 ) / 554974
GCD(686, 809) = 554974 / 554974
GCD(686, 809) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 271
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 271) = 271
GCD(1, 271) = ( 1 x 271 ) / 271
GCD(1, 271) = 271 / 271
GCD(1, 271) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 502
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 502) = 502
GCD(1, 502) = ( 1 x 502 ) / 502
GCD(1, 502) = 502 / 502
GCD(1, 502) = 1
GCD of 686, 809, 271, 502 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 686, 809, 271, 502?
GCD of 686, 809, 271, 502 is 1
2. Where do I get the detailed procedure to find GCD of 686, 809, 271, 502?
You can find a detailed procedure to find GCD of 686, 809, 271, 502 on our page.
3. How to find GCD of 686, 809, 271, 502 on a calculator?
You can find the GCD of 686, 809, 271, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.