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 338, 113, 180, 618 i.e. 1 largest integer that divides all the numbers equally.
GCD of 338, 113, 180, 618 is 1
GCD(338, 113, 180, 618) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 338, 113, 180, 618 is 1
GCD(338, 113, 180, 618) = 1
Given Input numbers are 338, 113, 180, 618
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Divisors of 113
List of positive integer divisors of 113 that divides 113 without a remainder.
1, 113
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 618
List of positive integer divisors of 618 that divides 618 without a remainder.
1, 2, 3, 6, 103, 206, 309, 618
Greatest Common Divisior
We found the divisors of 338, 113, 180, 618 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 113, 180, 618 is 1.
Therefore, GCD of numbers 338, 113, 180, 618 is 1
Given Input Data is 338, 113, 180, 618
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 338 is 2 x 13 x 13
Prime Factorization of 113 is 113
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 618 is 2 x 3 x 103
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(338, 113) = 38194
GCD(338, 113) = ( 338 x 113 ) / 38194
GCD(338, 113) = 38194 / 38194
GCD(338, 113) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 180
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
GCD(1, 180) = 180 / 180
GCD(1, 180) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 618
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 618) = 618
GCD(1, 618) = ( 1 x 618 ) / 618
GCD(1, 618) = 618 / 618
GCD(1, 618) = 1
GCD of 338, 113, 180, 618 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 338, 113, 180, 618?
GCD of 338, 113, 180, 618 is 1
2. Where do I get the detailed procedure to find GCD of 338, 113, 180, 618?
You can find a detailed procedure to find GCD of 338, 113, 180, 618 on our page.
3. How to find GCD of 338, 113, 180, 618 on a calculator?
You can find the GCD of 338, 113, 180, 618 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.