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 242, 398, 204, 125 i.e. 1 largest integer that divides all the numbers equally.
GCD of 242, 398, 204, 125 is 1
GCD(242, 398, 204, 125) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 242, 398, 204, 125 is 1
GCD(242, 398, 204, 125) = 1
Given Input numbers are 242, 398, 204, 125
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Divisors of 204
List of positive integer divisors of 204 that divides 204 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
Greatest Common Divisior
We found the divisors of 242, 398, 204, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 398, 204, 125 is 1.
Therefore, GCD of numbers 242, 398, 204, 125 is 1
Given Input Data is 242, 398, 204, 125
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 242 is 2 x 11 x 11
Prime Factorization of 398 is 2 x 199
Prime Factorization of 204 is 2 x 2 x 3 x 17
Prime Factorization of 125 is 5 x 5 x 5
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(242, 398) = 48158
GCD(242, 398) = ( 242 x 398 ) / 48158
GCD(242, 398) = 96316 / 48158
GCD(242, 398) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 204
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 204) = 204
GCD(2, 204) = ( 2 x 204 ) / 204
GCD(2, 204) = 408 / 204
GCD(2, 204) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 125
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 125) = 250
GCD(2, 125) = ( 2 x 125 ) / 250
GCD(2, 125) = 250 / 250
GCD(2, 125) = 1
GCD of 242, 398, 204, 125 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 242, 398, 204, 125?
GCD of 242, 398, 204, 125 is 1
2. Where do I get the detailed procedure to find GCD of 242, 398, 204, 125?
You can find a detailed procedure to find GCD of 242, 398, 204, 125 on our page.
3. How to find GCD of 242, 398, 204, 125 on a calculator?
You can find the GCD of 242, 398, 204, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.