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, 732, 204, 235 i.e. 1 largest integer that divides all the numbers equally.
GCD of 242, 732, 204, 235 is 1
GCD(242, 732, 204, 235) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 242, 732, 204, 235 is 1
GCD(242, 732, 204, 235) = 1
Given Input numbers are 242, 732, 204, 235
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 732
List of positive integer divisors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
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 235
List of positive integer divisors of 235 that divides 235 without a remainder.
1, 5, 47, 235
Greatest Common Divisior
We found the divisors of 242, 732, 204, 235 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 732, 204, 235 is 1.
Therefore, GCD of numbers 242, 732, 204, 235 is 1
Given Input Data is 242, 732, 204, 235
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 732 is 2 x 2 x 3 x 61
Prime Factorization of 204 is 2 x 2 x 3 x 17
Prime Factorization of 235 is 5 x 47
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, 732) = 88572
GCD(242, 732) = ( 242 x 732 ) / 88572
GCD(242, 732) = 177144 / 88572
GCD(242, 732) = 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 235
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 235) = 470
GCD(2, 235) = ( 2 x 235 ) / 470
GCD(2, 235) = 470 / 470
GCD(2, 235) = 1
GCD of 242, 732, 204, 235 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 242, 732, 204, 235?
GCD of 242, 732, 204, 235 is 1
2. Where do I get the detailed procedure to find GCD of 242, 732, 204, 235?
You can find a detailed procedure to find GCD of 242, 732, 204, 235 on our page.
3. How to find GCD of 242, 732, 204, 235 on a calculator?
You can find the GCD of 242, 732, 204, 235 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.