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 873, 471, 61, 231 i.e. 1 largest integer that divides all the numbers equally.
GCD of 873, 471, 61, 231 is 1
GCD(873, 471, 61, 231) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 873, 471, 61, 231 is 1
GCD(873, 471, 61, 231) = 1
Given Input numbers are 873, 471, 61, 231
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Divisors of 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
Greatest Common Divisior
We found the divisors of 873, 471, 61, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 873, 471, 61, 231 is 1.
Therefore, GCD of numbers 873, 471, 61, 231 is 1
Given Input Data is 873, 471, 61, 231
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 873 is 3 x 3 x 97
Prime Factorization of 471 is 3 x 157
Prime Factorization of 61 is 61
Prime Factorization of 231 is 3 x 7 x 11
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(873, 471) = 137061
GCD(873, 471) = ( 873 x 471 ) / 137061
GCD(873, 471) = 411183 / 137061
GCD(873, 471) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 61) = 183
GCD(3, 61) = ( 3 x 61 ) / 183
GCD(3, 61) = 183 / 183
GCD(3, 61) = 1
Step3:
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
GCD of 873, 471, 61, 231 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 873, 471, 61, 231?
GCD of 873, 471, 61, 231 is 1
2. Where do I get the detailed procedure to find GCD of 873, 471, 61, 231?
You can find a detailed procedure to find GCD of 873, 471, 61, 231 on our page.
3. How to find GCD of 873, 471, 61, 231 on a calculator?
You can find the GCD of 873, 471, 61, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.