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 869, 856, 556, 380 i.e. 1 largest integer that divides all the numbers equally.
GCD of 869, 856, 556, 380 is 1
GCD(869, 856, 556, 380) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 869, 856, 556, 380 is 1
GCD(869, 856, 556, 380) = 1
Given Input numbers are 869, 856, 556, 380
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 869
List of positive integer divisors of 869 that divides 869 without a remainder.
1, 11, 79, 869
Divisors of 856
List of positive integer divisors of 856 that divides 856 without a remainder.
1, 2, 4, 8, 107, 214, 428, 856
Divisors of 556
List of positive integer divisors of 556 that divides 556 without a remainder.
1, 2, 4, 139, 278, 556
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Greatest Common Divisior
We found the divisors of 869, 856, 556, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 869, 856, 556, 380 is 1.
Therefore, GCD of numbers 869, 856, 556, 380 is 1
Given Input Data is 869, 856, 556, 380
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 869 is 11 x 79
Prime Factorization of 856 is 2 x 2 x 2 x 107
Prime Factorization of 556 is 2 x 2 x 139
Prime Factorization of 380 is 2 x 2 x 5 x 19
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(869, 856) = 743864
GCD(869, 856) = ( 869 x 856 ) / 743864
GCD(869, 856) = 743864 / 743864
GCD(869, 856) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 556
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 556) = 556
GCD(1, 556) = ( 1 x 556 ) / 556
GCD(1, 556) = 556 / 556
GCD(1, 556) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 380
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 380) = 380
GCD(1, 380) = ( 1 x 380 ) / 380
GCD(1, 380) = 380 / 380
GCD(1, 380) = 1
GCD of 869, 856, 556, 380 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 869, 856, 556, 380?
GCD of 869, 856, 556, 380 is 1
2. Where do I get the detailed procedure to find GCD of 869, 856, 556, 380?
You can find a detailed procedure to find GCD of 869, 856, 556, 380 on our page.
3. How to find GCD of 869, 856, 556, 380 on a calculator?
You can find the GCD of 869, 856, 556, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.