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, 103, 471, 696 i.e. 1 largest integer that divides all the numbers equally.
GCD of 852, 103, 471, 696 is 1
GCD(852, 103, 471, 696) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 852, 103, 471, 696 is 1
GCD(852, 103, 471, 696) = 1
Given Input numbers are 852, 103, 471, 696
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 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Divisors of 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Divisors of 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Greatest Common Divisior
We found the divisors of 852, 103, 471, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 103, 471, 696 is 1.
Therefore, GCD of numbers 852, 103, 471, 696 is 1
Given Input Data is 852, 103, 471, 696
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 103 is 103
Prime Factorization of 471 is 3 x 157
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
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, 103) = 87756
GCD(852, 103) = ( 852 x 103 ) / 87756
GCD(852, 103) = 87756 / 87756
GCD(852, 103) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 471
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 471) = 471
GCD(1, 471) = ( 1 x 471 ) / 471
GCD(1, 471) = 471 / 471
GCD(1, 471) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 696
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 696) = 696
GCD(1, 696) = ( 1 x 696 ) / 696
GCD(1, 696) = 696 / 696
GCD(1, 696) = 1
GCD of 852, 103, 471, 696 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 852, 103, 471, 696?
GCD of 852, 103, 471, 696 is 1
2. Where do I get the detailed procedure to find GCD of 852, 103, 471, 696?
You can find a detailed procedure to find GCD of 852, 103, 471, 696 on our page.
3. How to find GCD of 852, 103, 471, 696 on a calculator?
You can find the GCD of 852, 103, 471, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.