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 815, 126, 231, 975 i.e. 1 largest integer that divides all the numbers equally.
GCD of 815, 126, 231, 975 is 1
GCD(815, 126, 231, 975) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 815, 126, 231, 975 is 1
GCD(815, 126, 231, 975) = 1
Given Input numbers are 815, 126, 231, 975
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 815
List of positive integer divisors of 815 that divides 815 without a remainder.
1, 5, 163, 815
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
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 975
List of positive integer divisors of 975 that divides 975 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Greatest Common Divisior
We found the divisors of 815, 126, 231, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 815, 126, 231, 975 is 1.
Therefore, GCD of numbers 815, 126, 231, 975 is 1
Given Input Data is 815, 126, 231, 975
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 815 is 5 x 163
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 231 is 3 x 7 x 11
Prime Factorization of 975 is 3 x 5 x 5 x 13
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(815, 126) = 102690
GCD(815, 126) = ( 815 x 126 ) / 102690
GCD(815, 126) = 102690 / 102690
GCD(815, 126) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 231
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 231) = 231
GCD(1, 231) = ( 1 x 231 ) / 231
GCD(1, 231) = 231 / 231
GCD(1, 231) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 975
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 975) = 975
GCD(1, 975) = ( 1 x 975 ) / 975
GCD(1, 975) = 975 / 975
GCD(1, 975) = 1
GCD of 815, 126, 231, 975 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 815, 126, 231, 975?
GCD of 815, 126, 231, 975 is 1
2. Where do I get the detailed procedure to find GCD of 815, 126, 231, 975?
You can find a detailed procedure to find GCD of 815, 126, 231, 975 on our page.
3. How to find GCD of 815, 126, 231, 975 on a calculator?
You can find the GCD of 815, 126, 231, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.