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, 395, 134, 657 i.e. 1 largest integer that divides all the numbers equally.
GCD of 231, 395, 134, 657 is 1
GCD(231, 395, 134, 657) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 231, 395, 134, 657 is 1
GCD(231, 395, 134, 657) = 1
Given Input numbers are 231, 395, 134, 657
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 395
List of positive integer divisors of 395 that divides 395 without a remainder.
1, 5, 79, 395
Divisors of 134
List of positive integer divisors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Divisors of 657
List of positive integer divisors of 657 that divides 657 without a remainder.
1, 3, 9, 73, 219, 657
Greatest Common Divisior
We found the divisors of 231, 395, 134, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 395, 134, 657 is 1.
Therefore, GCD of numbers 231, 395, 134, 657 is 1
Given Input Data is 231, 395, 134, 657
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 395 is 5 x 79
Prime Factorization of 134 is 2 x 67
Prime Factorization of 657 is 3 x 3 x 73
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, 395) = 91245
GCD(231, 395) = ( 231 x 395 ) / 91245
GCD(231, 395) = 91245 / 91245
GCD(231, 395) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 134
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 134) = 134
GCD(1, 134) = ( 1 x 134 ) / 134
GCD(1, 134) = 134 / 134
GCD(1, 134) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 657
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 657) = 657
GCD(1, 657) = ( 1 x 657 ) / 657
GCD(1, 657) = 657 / 657
GCD(1, 657) = 1
GCD of 231, 395, 134, 657 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 231, 395, 134, 657?
GCD of 231, 395, 134, 657 is 1
2. Where do I get the detailed procedure to find GCD of 231, 395, 134, 657?
You can find a detailed procedure to find GCD of 231, 395, 134, 657 on our page.
3. How to find GCD of 231, 395, 134, 657 on a calculator?
You can find the GCD of 231, 395, 134, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.