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, 335, 29, 109 i.e. 1 largest integer that divides all the numbers equally.
GCD of 558, 335, 29, 109 is 1
GCD(558, 335, 29, 109) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 558, 335, 29, 109 is 1
GCD(558, 335, 29, 109) = 1
Given Input numbers are 558, 335, 29, 109
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 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 109
List of positive integer divisors of 109 that divides 109 without a remainder.
1, 109
Greatest Common Divisior
We found the divisors of 558, 335, 29, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 335, 29, 109 is 1.
Therefore, GCD of numbers 558, 335, 29, 109 is 1
Given Input Data is 558, 335, 29, 109
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 335 is 5 x 67
Prime Factorization of 29 is 29
Prime Factorization of 109 is 109
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, 335) = 186930
GCD(558, 335) = ( 558 x 335 ) / 186930
GCD(558, 335) = 186930 / 186930
GCD(558, 335) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 29
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 29) = 29
GCD(1, 29) = ( 1 x 29 ) / 29
GCD(1, 29) = 29 / 29
GCD(1, 29) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 109
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 109) = 109
GCD(1, 109) = ( 1 x 109 ) / 109
GCD(1, 109) = 109 / 109
GCD(1, 109) = 1
GCD of 558, 335, 29, 109 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 558, 335, 29, 109?
GCD of 558, 335, 29, 109 is 1
2. Where do I get the detailed procedure to find GCD of 558, 335, 29, 109?
You can find a detailed procedure to find GCD of 558, 335, 29, 109 on our page.
3. How to find GCD of 558, 335, 29, 109 on a calculator?
You can find the GCD of 558, 335, 29, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.