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, 294, 68, 404 i.e. 1 largest integer that divides all the numbers equally.
GCD of 873, 294, 68, 404 is 1
GCD(873, 294, 68, 404) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 873, 294, 68, 404 is 1
GCD(873, 294, 68, 404) = 1
Given Input numbers are 873, 294, 68, 404
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 294
List of positive integer divisors of 294 that divides 294 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Greatest Common Divisior
We found the divisors of 873, 294, 68, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 873, 294, 68, 404 is 1.
Therefore, GCD of numbers 873, 294, 68, 404 is 1
Given Input Data is 873, 294, 68, 404
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 294 is 2 x 3 x 7 x 7
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 404 is 2 x 2 x 101
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, 294) = 85554
GCD(873, 294) = ( 873 x 294 ) / 85554
GCD(873, 294) = 256662 / 85554
GCD(873, 294) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 68) = 204
GCD(3, 68) = ( 3 x 68 ) / 204
GCD(3, 68) = 204 / 204
GCD(3, 68) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 404
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 404) = 404
GCD(1, 404) = ( 1 x 404 ) / 404
GCD(1, 404) = 404 / 404
GCD(1, 404) = 1
GCD of 873, 294, 68, 404 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 873, 294, 68, 404?
GCD of 873, 294, 68, 404 is 1
2. Where do I get the detailed procedure to find GCD of 873, 294, 68, 404?
You can find a detailed procedure to find GCD of 873, 294, 68, 404 on our page.
3. How to find GCD of 873, 294, 68, 404 on a calculator?
You can find the GCD of 873, 294, 68, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.