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, 454, 574, 302 i.e. 1 largest integer that divides all the numbers equally.
GCD of 873, 454, 574, 302 is 1
GCD(873, 454, 574, 302) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 873, 454, 574, 302 is 1
GCD(873, 454, 574, 302) = 1
Given Input numbers are 873, 454, 574, 302
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 454
List of positive integer divisors of 454 that divides 454 without a remainder.
1, 2, 227, 454
Divisors of 574
List of positive integer divisors of 574 that divides 574 without a remainder.
1, 2, 7, 14, 41, 82, 287, 574
Divisors of 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Greatest Common Divisior
We found the divisors of 873, 454, 574, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 873, 454, 574, 302 is 1.
Therefore, GCD of numbers 873, 454, 574, 302 is 1
Given Input Data is 873, 454, 574, 302
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 454 is 2 x 227
Prime Factorization of 574 is 2 x 7 x 41
Prime Factorization of 302 is 2 x 151
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, 454) = 396342
GCD(873, 454) = ( 873 x 454 ) / 396342
GCD(873, 454) = 396342 / 396342
GCD(873, 454) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 574
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 574) = 574
GCD(1, 574) = ( 1 x 574 ) / 574
GCD(1, 574) = 574 / 574
GCD(1, 574) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 302
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 302) = 302
GCD(1, 302) = ( 1 x 302 ) / 302
GCD(1, 302) = 302 / 302
GCD(1, 302) = 1
GCD of 873, 454, 574, 302 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 873, 454, 574, 302?
GCD of 873, 454, 574, 302 is 1
2. Where do I get the detailed procedure to find GCD of 873, 454, 574, 302?
You can find a detailed procedure to find GCD of 873, 454, 574, 302 on our page.
3. How to find GCD of 873, 454, 574, 302 on a calculator?
You can find the GCD of 873, 454, 574, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.