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 558, 615, 918, 311 i.e. 1 largest integer that divides all the numbers equally.
GCD of 558, 615, 918, 311 is 1
GCD(558, 615, 918, 311) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 558, 615, 918, 311 is 1
GCD(558, 615, 918, 311) = 1
Given Input numbers are 558, 615, 918, 311
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 558
List of positive integer divisors of 558 that divides 558 without a remainder.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 615
List of positive integer divisors of 615 that divides 615 without a remainder.
1, 3, 5, 15, 41, 123, 205, 615
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 311
List of positive integer divisors of 311 that divides 311 without a remainder.
1, 311
Greatest Common Divisior
We found the divisors of 558, 615, 918, 311 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 615, 918, 311 is 1.
Therefore, GCD of numbers 558, 615, 918, 311 is 1
Given Input Data is 558, 615, 918, 311
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 558 is 2 x 3 x 3 x 31
Prime Factorization of 615 is 3 x 5 x 41
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
Prime Factorization of 311 is 311
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(558, 615) = 114390
GCD(558, 615) = ( 558 x 615 ) / 114390
GCD(558, 615) = 343170 / 114390
GCD(558, 615) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 918
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 918) = 918
GCD(3, 918) = ( 3 x 918 ) / 918
GCD(3, 918) = 2754 / 918
GCD(3, 918) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 311
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 311) = 933
GCD(3, 311) = ( 3 x 311 ) / 933
GCD(3, 311) = 933 / 933
GCD(3, 311) = 1
GCD of 558, 615, 918, 311 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 558, 615, 918, 311?
GCD of 558, 615, 918, 311 is 1
2. Where do I get the detailed procedure to find GCD of 558, 615, 918, 311?
You can find a detailed procedure to find GCD of 558, 615, 918, 311 on our page.
3. How to find GCD of 558, 615, 918, 311 on a calculator?
You can find the GCD of 558, 615, 918, 311 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.