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 484, 628, 82, 923 i.e. 1 largest integer that divides all the numbers equally.
GCD of 484, 628, 82, 923 is 1
GCD(484, 628, 82, 923) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 484, 628, 82, 923 is 1
GCD(484, 628, 82, 923) = 1
Given Input numbers are 484, 628, 82, 923
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 628
List of positive integer divisors of 628 that divides 628 without a remainder.
1, 2, 4, 157, 314, 628
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 923
List of positive integer divisors of 923 that divides 923 without a remainder.
1, 13, 71, 923
Greatest Common Divisior
We found the divisors of 484, 628, 82, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 484, 628, 82, 923 is 1.
Therefore, GCD of numbers 484, 628, 82, 923 is 1
Given Input Data is 484, 628, 82, 923
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 484 is 2 x 2 x 11 x 11
Prime Factorization of 628 is 2 x 2 x 157
Prime Factorization of 82 is 2 x 41
Prime Factorization of 923 is 13 x 71
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(484, 628) = 75988
GCD(484, 628) = ( 484 x 628 ) / 75988
GCD(484, 628) = 303952 / 75988
GCD(484, 628) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 82) = 164
GCD(4, 82) = ( 4 x 82 ) / 164
GCD(4, 82) = 328 / 164
GCD(4, 82) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 923
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 923) = 1846
GCD(2, 923) = ( 2 x 923 ) / 1846
GCD(2, 923) = 1846 / 1846
GCD(2, 923) = 1
GCD of 484, 628, 82, 923 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 484, 628, 82, 923?
GCD of 484, 628, 82, 923 is 1
2. Where do I get the detailed procedure to find GCD of 484, 628, 82, 923?
You can find a detailed procedure to find GCD of 484, 628, 82, 923 on our page.
3. How to find GCD of 484, 628, 82, 923 on a calculator?
You can find the GCD of 484, 628, 82, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.