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, 645, 396, 902 i.e. 1 largest integer that divides all the numbers equally.
GCD of 873, 645, 396, 902 is 1
GCD(873, 645, 396, 902) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 873, 645, 396, 902 is 1
GCD(873, 645, 396, 902) = 1
Given Input numbers are 873, 645, 396, 902
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 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 902
List of positive integer divisors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
Greatest Common Divisior
We found the divisors of 873, 645, 396, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 873, 645, 396, 902 is 1.
Therefore, GCD of numbers 873, 645, 396, 902 is 1
Given Input Data is 873, 645, 396, 902
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 645 is 3 x 5 x 43
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 902 is 2 x 11 x 41
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, 645) = 187695
GCD(873, 645) = ( 873 x 645 ) / 187695
GCD(873, 645) = 563085 / 187695
GCD(873, 645) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 396
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 396) = 396
GCD(3, 396) = ( 3 x 396 ) / 396
GCD(3, 396) = 1188 / 396
GCD(3, 396) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 902
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 902) = 2706
GCD(3, 902) = ( 3 x 902 ) / 2706
GCD(3, 902) = 2706 / 2706
GCD(3, 902) = 1
GCD of 873, 645, 396, 902 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 873, 645, 396, 902?
GCD of 873, 645, 396, 902 is 1
2. Where do I get the detailed procedure to find GCD of 873, 645, 396, 902?
You can find a detailed procedure to find GCD of 873, 645, 396, 902 on our page.
3. How to find GCD of 873, 645, 396, 902 on a calculator?
You can find the GCD of 873, 645, 396, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.