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 559, 852, 119, 372 i.e. 1 largest integer that divides all the numbers equally.
GCD of 559, 852, 119, 372 is 1
GCD(559, 852, 119, 372) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 559, 852, 119, 372 is 1
GCD(559, 852, 119, 372) = 1
Given Input numbers are 559, 852, 119, 372
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 559
List of positive integer divisors of 559 that divides 559 without a remainder.
1, 13, 43, 559
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 119
List of positive integer divisors of 119 that divides 119 without a remainder.
1, 7, 17, 119
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Greatest Common Divisior
We found the divisors of 559, 852, 119, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 559, 852, 119, 372 is 1.
Therefore, GCD of numbers 559, 852, 119, 372 is 1
Given Input Data is 559, 852, 119, 372
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 559 is 13 x 43
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 119 is 7 x 17
Prime Factorization of 372 is 2 x 2 x 3 x 31
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(559, 852) = 476268
GCD(559, 852) = ( 559 x 852 ) / 476268
GCD(559, 852) = 476268 / 476268
GCD(559, 852) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 119
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 119) = 119
GCD(1, 119) = ( 1 x 119 ) / 119
GCD(1, 119) = 119 / 119
GCD(1, 119) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 372
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 372) = 372
GCD(1, 372) = ( 1 x 372 ) / 372
GCD(1, 372) = 372 / 372
GCD(1, 372) = 1
GCD of 559, 852, 119, 372 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 559, 852, 119, 372?
GCD of 559, 852, 119, 372 is 1
2. Where do I get the detailed procedure to find GCD of 559, 852, 119, 372?
You can find a detailed procedure to find GCD of 559, 852, 119, 372 on our page.
3. How to find GCD of 559, 852, 119, 372 on a calculator?
You can find the GCD of 559, 852, 119, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.