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 507, 691, 237, 872 i.e. 1 largest integer that divides all the numbers equally.
GCD of 507, 691, 237, 872 is 1
GCD(507, 691, 237, 872) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 507, 691, 237, 872 is 1
GCD(507, 691, 237, 872) = 1
Given Input numbers are 507, 691, 237, 872
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Divisors of 691
List of positive integer divisors of 691 that divides 691 without a remainder.
1, 691
Divisors of 237
List of positive integer divisors of 237 that divides 237 without a remainder.
1, 3, 79, 237
Divisors of 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Greatest Common Divisior
We found the divisors of 507, 691, 237, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 507, 691, 237, 872 is 1.
Therefore, GCD of numbers 507, 691, 237, 872 is 1
Given Input Data is 507, 691, 237, 872
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 507 is 3 x 13 x 13
Prime Factorization of 691 is 691
Prime Factorization of 237 is 3 x 79
Prime Factorization of 872 is 2 x 2 x 2 x 109
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(507, 691) = 350337
GCD(507, 691) = ( 507 x 691 ) / 350337
GCD(507, 691) = 350337 / 350337
GCD(507, 691) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 237
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 237) = 237
GCD(1, 237) = ( 1 x 237 ) / 237
GCD(1, 237) = 237 / 237
GCD(1, 237) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 872
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 872) = 872
GCD(1, 872) = ( 1 x 872 ) / 872
GCD(1, 872) = 872 / 872
GCD(1, 872) = 1
GCD of 507, 691, 237, 872 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 507, 691, 237, 872?
GCD of 507, 691, 237, 872 is 1
2. Where do I get the detailed procedure to find GCD of 507, 691, 237, 872?
You can find a detailed procedure to find GCD of 507, 691, 237, 872 on our page.
3. How to find GCD of 507, 691, 237, 872 on a calculator?
You can find the GCD of 507, 691, 237, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.