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, 631, 309, 274 i.e. 1 largest integer that divides all the numbers equally.
GCD of 558, 631, 309, 274 is 1
GCD(558, 631, 309, 274) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 558, 631, 309, 274 is 1
GCD(558, 631, 309, 274) = 1
Given Input numbers are 558, 631, 309, 274
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 631
List of positive integer divisors of 631 that divides 631 without a remainder.
1, 631
Divisors of 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Divisors of 274
List of positive integer divisors of 274 that divides 274 without a remainder.
1, 2, 137, 274
Greatest Common Divisior
We found the divisors of 558, 631, 309, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 631, 309, 274 is 1.
Therefore, GCD of numbers 558, 631, 309, 274 is 1
Given Input Data is 558, 631, 309, 274
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 631 is 631
Prime Factorization of 309 is 3 x 103
Prime Factorization of 274 is 2 x 137
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, 631) = 352098
GCD(558, 631) = ( 558 x 631 ) / 352098
GCD(558, 631) = 352098 / 352098
GCD(558, 631) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 309
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 309) = 309
GCD(1, 309) = ( 1 x 309 ) / 309
GCD(1, 309) = 309 / 309
GCD(1, 309) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 274
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 274) = 274
GCD(1, 274) = ( 1 x 274 ) / 274
GCD(1, 274) = 274 / 274
GCD(1, 274) = 1
GCD of 558, 631, 309, 274 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 558, 631, 309, 274?
GCD of 558, 631, 309, 274 is 1
2. Where do I get the detailed procedure to find GCD of 558, 631, 309, 274?
You can find a detailed procedure to find GCD of 558, 631, 309, 274 on our page.
3. How to find GCD of 558, 631, 309, 274 on a calculator?
You can find the GCD of 558, 631, 309, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.