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, 969, 185, 358 i.e. 1 largest integer that divides all the numbers equally.
GCD of 231, 969, 185, 358 is 1
GCD(231, 969, 185, 358) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 231, 969, 185, 358 is 1
GCD(231, 969, 185, 358) = 1
Given Input numbers are 231, 969, 185, 358
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 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 185
List of positive integer divisors of 185 that divides 185 without a remainder.
1, 5, 37, 185
Divisors of 358
List of positive integer divisors of 358 that divides 358 without a remainder.
1, 2, 179, 358
Greatest Common Divisior
We found the divisors of 231, 969, 185, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 969, 185, 358 is 1.
Therefore, GCD of numbers 231, 969, 185, 358 is 1
Given Input Data is 231, 969, 185, 358
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 969 is 3 x 17 x 19
Prime Factorization of 185 is 5 x 37
Prime Factorization of 358 is 2 x 179
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(231, 969) = 74613
GCD(231, 969) = ( 231 x 969 ) / 74613
GCD(231, 969) = 223839 / 74613
GCD(231, 969) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 185
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 185) = 555
GCD(3, 185) = ( 3 x 185 ) / 555
GCD(3, 185) = 555 / 555
GCD(3, 185) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 358
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 358) = 358
GCD(1, 358) = ( 1 x 358 ) / 358
GCD(1, 358) = 358 / 358
GCD(1, 358) = 1
GCD of 231, 969, 185, 358 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 231, 969, 185, 358?
GCD of 231, 969, 185, 358 is 1
2. Where do I get the detailed procedure to find GCD of 231, 969, 185, 358?
You can find a detailed procedure to find GCD of 231, 969, 185, 358 on our page.
3. How to find GCD of 231, 969, 185, 358 on a calculator?
You can find the GCD of 231, 969, 185, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.