GCD of 231, 242, 361 Calculator
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 231, 242, 361 i.e. 1 largest integer that divides all the numbers equally.
GCD of 231, 242, 361 is 1
GCD(231, 242, 361) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 231, 242, 361 is 1
GCD(231, 242, 361) = 1
GCDof 231,242,361 is 1
Given Input numbers are 231, 242, 361
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Greatest Common Divisior
We found the divisors of 231, 242, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 242, 361 is 1.
Therefore, GCD of numbers 231, 242, 361 is 1
Given Input Data is 231, 242, 361
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 231 is 3 x 7 x 11
Prime Factorization of 242 is 2 x 11 x 11
Prime Factorization of 361 is 19 x 19
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 231, 242, 361 using LCM Formula
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(231, 242) = 5082
GCD(231, 242) = ( 231 x 242 ) / 5082
GCD(231, 242) = 55902 / 5082
GCD(231, 242) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 361
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 361) = 3971
GCD(11, 361) = ( 11 x 361 ) / 3971
GCD(11, 361) = 3971 / 3971
GCD(11, 361) = 1
GCD of 231, 242, 361 is 1
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FAQs on GCD of numbers 231, 242, 361
1. What is the GCD of 231, 242, 361?
GCD of 231, 242, 361 is 1
2. Where do I get the detailed procedure to find GCD of 231, 242, 361?
You can find a detailed procedure to find GCD of 231, 242, 361 on our page.
3. How to find GCD of 231, 242, 361 on a calculator?
You can find the GCD of 231, 242, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.