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, 537, 955, 635 i.e. 1 largest integer that divides all the numbers equally.
GCD of 231, 537, 955, 635 is 1
GCD(231, 537, 955, 635) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 231, 537, 955, 635 is 1
GCD(231, 537, 955, 635) = 1
Given Input numbers are 231, 537, 955, 635
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 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Divisors of 955
List of positive integer divisors of 955 that divides 955 without a remainder.
1, 5, 191, 955
Divisors of 635
List of positive integer divisors of 635 that divides 635 without a remainder.
1, 5, 127, 635
Greatest Common Divisior
We found the divisors of 231, 537, 955, 635 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 537, 955, 635 is 1.
Therefore, GCD of numbers 231, 537, 955, 635 is 1
Given Input Data is 231, 537, 955, 635
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 537 is 3 x 179
Prime Factorization of 955 is 5 x 191
Prime Factorization of 635 is 5 x 127
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, 537) = 41349
GCD(231, 537) = ( 231 x 537 ) / 41349
GCD(231, 537) = 124047 / 41349
GCD(231, 537) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 955
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 955) = 2865
GCD(3, 955) = ( 3 x 955 ) / 2865
GCD(3, 955) = 2865 / 2865
GCD(3, 955) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 635
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 635) = 635
GCD(1, 635) = ( 1 x 635 ) / 635
GCD(1, 635) = 635 / 635
GCD(1, 635) = 1
GCD of 231, 537, 955, 635 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 231, 537, 955, 635?
GCD of 231, 537, 955, 635 is 1
2. Where do I get the detailed procedure to find GCD of 231, 537, 955, 635?
You can find a detailed procedure to find GCD of 231, 537, 955, 635 on our page.
3. How to find GCD of 231, 537, 955, 635 on a calculator?
You can find the GCD of 231, 537, 955, 635 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.