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 872, 957, 42, 808 i.e. 1 largest integer that divides all the numbers equally.
GCD of 872, 957, 42, 808 is 1
GCD(872, 957, 42, 808) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 872, 957, 42, 808 is 1
GCD(872, 957, 42, 808) = 1
Given Input numbers are 872, 957, 42, 808
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 957
List of positive integer divisors of 957 that divides 957 without a remainder.
1, 3, 11, 29, 33, 87, 319, 957
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 808
List of positive integer divisors of 808 that divides 808 without a remainder.
1, 2, 4, 8, 101, 202, 404, 808
Greatest Common Divisior
We found the divisors of 872, 957, 42, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 957, 42, 808 is 1.
Therefore, GCD of numbers 872, 957, 42, 808 is 1
Given Input Data is 872, 957, 42, 808
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 872 is 2 x 2 x 2 x 109
Prime Factorization of 957 is 3 x 11 x 29
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 808 is 2 x 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(872, 957) = 834504
GCD(872, 957) = ( 872 x 957 ) / 834504
GCD(872, 957) = 834504 / 834504
GCD(872, 957) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 42) = 42
GCD(1, 42) = ( 1 x 42 ) / 42
GCD(1, 42) = 42 / 42
GCD(1, 42) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 808
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 808) = 808
GCD(1, 808) = ( 1 x 808 ) / 808
GCD(1, 808) = 808 / 808
GCD(1, 808) = 1
GCD of 872, 957, 42, 808 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 872, 957, 42, 808?
GCD of 872, 957, 42, 808 is 1
2. Where do I get the detailed procedure to find GCD of 872, 957, 42, 808?
You can find a detailed procedure to find GCD of 872, 957, 42, 808 on our page.
3. How to find GCD of 872, 957, 42, 808 on a calculator?
You can find the GCD of 872, 957, 42, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.