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 557, 311, 47, 888 i.e. 1 largest integer that divides all the numbers equally.
GCD of 557, 311, 47, 888 is 1
GCD(557, 311, 47, 888) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 557, 311, 47, 888 is 1
GCD(557, 311, 47, 888) = 1
Given Input numbers are 557, 311, 47, 888
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 557
List of positive integer divisors of 557 that divides 557 without a remainder.
1, 557
Divisors of 311
List of positive integer divisors of 311 that divides 311 without a remainder.
1, 311
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 888
List of positive integer divisors of 888 that divides 888 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
Greatest Common Divisior
We found the divisors of 557, 311, 47, 888 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 557, 311, 47, 888 is 1.
Therefore, GCD of numbers 557, 311, 47, 888 is 1
Given Input Data is 557, 311, 47, 888
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 557 is 557
Prime Factorization of 311 is 311
Prime Factorization of 47 is 47
Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37
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(557, 311) = 173227
GCD(557, 311) = ( 557 x 311 ) / 173227
GCD(557, 311) = 173227 / 173227
GCD(557, 311) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 47) = 47
GCD(1, 47) = ( 1 x 47 ) / 47
GCD(1, 47) = 47 / 47
GCD(1, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 888
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 888) = 888
GCD(1, 888) = ( 1 x 888 ) / 888
GCD(1, 888) = 888 / 888
GCD(1, 888) = 1
GCD of 557, 311, 47, 888 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 557, 311, 47, 888?
GCD of 557, 311, 47, 888 is 1
2. Where do I get the detailed procedure to find GCD of 557, 311, 47, 888?
You can find a detailed procedure to find GCD of 557, 311, 47, 888 on our page.
3. How to find GCD of 557, 311, 47, 888 on a calculator?
You can find the GCD of 557, 311, 47, 888 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.