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, 889, 452, 888 i.e. 1 largest integer that divides all the numbers equally.
GCD of 852, 889, 452, 888 is 1
GCD(852, 889, 452, 888) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 852, 889, 452, 888 is 1
GCD(852, 889, 452, 888) = 1
Given Input numbers are 852, 889, 452, 888
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 889
List of positive integer divisors of 889 that divides 889 without a remainder.
1, 7, 127, 889
Divisors of 452
List of positive integer divisors of 452 that divides 452 without a remainder.
1, 2, 4, 113, 226, 452
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
Greatest Common Divisior
We found the divisors of 852, 889, 452, 888 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 889, 452, 888 is 1.
Therefore, GCD of numbers 852, 889, 452, 888 is 1
Given Input Data is 852, 889, 452, 888
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 889 is 7 x 127
Prime Factorization of 452 is 2 x 2 x 113
Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37
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, 889) = 757428
GCD(852, 889) = ( 852 x 889 ) / 757428
GCD(852, 889) = 757428 / 757428
GCD(852, 889) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 452
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 452) = 452
GCD(1, 452) = ( 1 x 452 ) / 452
GCD(1, 452) = 452 / 452
GCD(1, 452) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 888
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 888) = 888
GCD(1, 888) = ( 1 x 888 ) / 888
GCD(1, 888) = 888 / 888
GCD(1, 888) = 1
GCD of 852, 889, 452, 888 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 852, 889, 452, 888?
GCD of 852, 889, 452, 888 is 1
2. Where do I get the detailed procedure to find GCD of 852, 889, 452, 888?
You can find a detailed procedure to find GCD of 852, 889, 452, 888 on our page.
3. How to find GCD of 852, 889, 452, 888 on a calculator?
You can find the GCD of 852, 889, 452, 888 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.