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 850, 872, 79, 231 i.e. 1 largest integer that divides all the numbers equally.
GCD of 850, 872, 79, 231 is 1
GCD(850, 872, 79, 231) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 850, 872, 79, 231 is 1
GCD(850, 872, 79, 231) = 1
Given Input numbers are 850, 872, 79, 231
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 850
List of positive integer divisors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Divisors of 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 79
List of positive integer divisors of 79 that divides 79 without a remainder.
1, 79
Divisors of 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
Greatest Common Divisior
We found the divisors of 850, 872, 79, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 850, 872, 79, 231 is 1.
Therefore, GCD of numbers 850, 872, 79, 231 is 1
Given Input Data is 850, 872, 79, 231
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 850 is 2 x 5 x 5 x 17
Prime Factorization of 872 is 2 x 2 x 2 x 109
Prime Factorization of 79 is 79
Prime Factorization of 231 is 3 x 7 x 11
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(850, 872) = 370600
GCD(850, 872) = ( 850 x 872 ) / 370600
GCD(850, 872) = 741200 / 370600
GCD(850, 872) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 79
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 79) = 158
GCD(2, 79) = ( 2 x 79 ) / 158
GCD(2, 79) = 158 / 158
GCD(2, 79) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 231
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 231) = 231
GCD(1, 231) = ( 1 x 231 ) / 231
GCD(1, 231) = 231 / 231
GCD(1, 231) = 1
GCD of 850, 872, 79, 231 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 850, 872, 79, 231?
GCD of 850, 872, 79, 231 is 1
2. Where do I get the detailed procedure to find GCD of 850, 872, 79, 231?
You can find a detailed procedure to find GCD of 850, 872, 79, 231 on our page.
3. How to find GCD of 850, 872, 79, 231 on a calculator?
You can find the GCD of 850, 872, 79, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.