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 852, 888, 133, 317 i.e. 1 largest integer that divides all the numbers equally.
GCD of 852, 888, 133, 317 is 1
GCD(852, 888, 133, 317) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 852, 888, 133, 317 is 1
GCD(852, 888, 133, 317) = 1
Given Input numbers are 852, 888, 133, 317
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 888
List of positive integer divisors of 888 that divides 888 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
Greatest Common Divisior
We found the divisors of 852, 888, 133, 317 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 888, 133, 317 is 1.
Therefore, GCD of numbers 852, 888, 133, 317 is 1
Given Input Data is 852, 888, 133, 317
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37
Prime Factorization of 133 is 7 x 19
Prime Factorization of 317 is 317
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(852, 888) = 63048
GCD(852, 888) = ( 852 x 888 ) / 63048
GCD(852, 888) = 756576 / 63048
GCD(852, 888) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 133
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 133) = 1596
GCD(12, 133) = ( 12 x 133 ) / 1596
GCD(12, 133) = 1596 / 1596
GCD(12, 133) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 317
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 317) = 317
GCD(1, 317) = ( 1 x 317 ) / 317
GCD(1, 317) = 317 / 317
GCD(1, 317) = 1
GCD of 852, 888, 133, 317 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 852, 888, 133, 317?
GCD of 852, 888, 133, 317 is 1
2. Where do I get the detailed procedure to find GCD of 852, 888, 133, 317?
You can find a detailed procedure to find GCD of 852, 888, 133, 317 on our page.
3. How to find GCD of 852, 888, 133, 317 on a calculator?
You can find the GCD of 852, 888, 133, 317 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.