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, 996, 229, 869 i.e. 1 largest integer that divides all the numbers equally.
GCD of 873, 996, 229, 869 is 1
GCD(873, 996, 229, 869) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 873, 996, 229, 869 is 1
GCD(873, 996, 229, 869) = 1
Given Input numbers are 873, 996, 229, 869
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 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 229
List of positive integer divisors of 229 that divides 229 without a remainder.
1, 229
Divisors of 869
List of positive integer divisors of 869 that divides 869 without a remainder.
1, 11, 79, 869
Greatest Common Divisior
We found the divisors of 873, 996, 229, 869 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 873, 996, 229, 869 is 1.
Therefore, GCD of numbers 873, 996, 229, 869 is 1
Given Input Data is 873, 996, 229, 869
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 996 is 2 x 2 x 3 x 83
Prime Factorization of 229 is 229
Prime Factorization of 869 is 11 x 79
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, 996) = 289836
GCD(873, 996) = ( 873 x 996 ) / 289836
GCD(873, 996) = 869508 / 289836
GCD(873, 996) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 229
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 229) = 687
GCD(3, 229) = ( 3 x 229 ) / 687
GCD(3, 229) = 687 / 687
GCD(3, 229) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 869
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 869) = 869
GCD(1, 869) = ( 1 x 869 ) / 869
GCD(1, 869) = 869 / 869
GCD(1, 869) = 1
GCD of 873, 996, 229, 869 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 873, 996, 229, 869?
GCD of 873, 996, 229, 869 is 1
2. Where do I get the detailed procedure to find GCD of 873, 996, 229, 869?
You can find a detailed procedure to find GCD of 873, 996, 229, 869 on our page.
3. How to find GCD of 873, 996, 229, 869 on a calculator?
You can find the GCD of 873, 996, 229, 869 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.