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 472, 823, 110, 484 i.e. 1 largest integer that divides all the numbers equally.
GCD of 472, 823, 110, 484 is 1
GCD(472, 823, 110, 484) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 472, 823, 110, 484 is 1
GCD(472, 823, 110, 484) = 1
Given Input numbers are 472, 823, 110, 484
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Divisors of 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Greatest Common Divisior
We found the divisors of 472, 823, 110, 484 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 823, 110, 484 is 1.
Therefore, GCD of numbers 472, 823, 110, 484 is 1
Given Input Data is 472, 823, 110, 484
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 472 is 2 x 2 x 2 x 59
Prime Factorization of 823 is 823
Prime Factorization of 110 is 2 x 5 x 11
Prime Factorization of 484 is 2 x 2 x 11 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(472, 823) = 388456
GCD(472, 823) = ( 472 x 823 ) / 388456
GCD(472, 823) = 388456 / 388456
GCD(472, 823) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 110
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 110) = 110
GCD(1, 110) = ( 1 x 110 ) / 110
GCD(1, 110) = 110 / 110
GCD(1, 110) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 484
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 484) = 484
GCD(1, 484) = ( 1 x 484 ) / 484
GCD(1, 484) = 484 / 484
GCD(1, 484) = 1
GCD of 472, 823, 110, 484 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 472, 823, 110, 484?
GCD of 472, 823, 110, 484 is 1
2. Where do I get the detailed procedure to find GCD of 472, 823, 110, 484?
You can find a detailed procedure to find GCD of 472, 823, 110, 484 on our page.
3. How to find GCD of 472, 823, 110, 484 on a calculator?
You can find the GCD of 472, 823, 110, 484 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.