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 184, 474, 457, 123 i.e. 1 largest integer that divides all the numbers equally.
GCD of 184, 474, 457, 123 is 1
GCD(184, 474, 457, 123) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 184, 474, 457, 123 is 1
GCD(184, 474, 457, 123) = 1
Given Input numbers are 184, 474, 457, 123
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 184
List of positive integer divisors of 184 that divides 184 without a remainder.
1, 2, 4, 8, 23, 46, 92, 184
Divisors of 474
List of positive integer divisors of 474 that divides 474 without a remainder.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 457
List of positive integer divisors of 457 that divides 457 without a remainder.
1, 457
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Greatest Common Divisior
We found the divisors of 184, 474, 457, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 184, 474, 457, 123 is 1.
Therefore, GCD of numbers 184, 474, 457, 123 is 1
Given Input Data is 184, 474, 457, 123
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 184 is 2 x 2 x 2 x 23
Prime Factorization of 474 is 2 x 3 x 79
Prime Factorization of 457 is 457
Prime Factorization of 123 is 3 x 41
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(184, 474) = 43608
GCD(184, 474) = ( 184 x 474 ) / 43608
GCD(184, 474) = 87216 / 43608
GCD(184, 474) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 457
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 457) = 914
GCD(2, 457) = ( 2 x 457 ) / 914
GCD(2, 457) = 914 / 914
GCD(2, 457) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 123
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 123) = 123
GCD(1, 123) = ( 1 x 123 ) / 123
GCD(1, 123) = 123 / 123
GCD(1, 123) = 1
GCD of 184, 474, 457, 123 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 184, 474, 457, 123?
GCD of 184, 474, 457, 123 is 1
2. Where do I get the detailed procedure to find GCD of 184, 474, 457, 123?
You can find a detailed procedure to find GCD of 184, 474, 457, 123 on our page.
3. How to find GCD of 184, 474, 457, 123 on a calculator?
You can find the GCD of 184, 474, 457, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.