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, 893, 84, 176 i.e. 1 largest integer that divides all the numbers equally.
GCD of 852, 893, 84, 176 is 1
GCD(852, 893, 84, 176) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 852, 893, 84, 176 is 1
GCD(852, 893, 84, 176) = 1
Given Input numbers are 852, 893, 84, 176
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 893
List of positive integer divisors of 893 that divides 893 without a remainder.
1, 19, 47, 893
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 176
List of positive integer divisors of 176 that divides 176 without a remainder.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Greatest Common Divisior
We found the divisors of 852, 893, 84, 176 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 893, 84, 176 is 1.
Therefore, GCD of numbers 852, 893, 84, 176 is 1
Given Input Data is 852, 893, 84, 176
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 893 is 19 x 47
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11
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, 893) = 760836
GCD(852, 893) = ( 852 x 893 ) / 760836
GCD(852, 893) = 760836 / 760836
GCD(852, 893) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 84) = 84
GCD(1, 84) = ( 1 x 84 ) / 84
GCD(1, 84) = 84 / 84
GCD(1, 84) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 176
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 176) = 176
GCD(1, 176) = ( 1 x 176 ) / 176
GCD(1, 176) = 176 / 176
GCD(1, 176) = 1
GCD of 852, 893, 84, 176 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 852, 893, 84, 176?
GCD of 852, 893, 84, 176 is 1
2. Where do I get the detailed procedure to find GCD of 852, 893, 84, 176?
You can find a detailed procedure to find GCD of 852, 893, 84, 176 on our page.
3. How to find GCD of 852, 893, 84, 176 on a calculator?
You can find the GCD of 852, 893, 84, 176 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.