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 123, 482, 23, 410 i.e. 1 largest integer that divides all the numbers equally.
GCD of 123, 482, 23, 410 is 1
GCD(123, 482, 23, 410) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 123, 482, 23, 410 is 1
GCD(123, 482, 23, 410) = 1
Given Input numbers are 123, 482, 23, 410
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Divisors of 482
List of positive integer divisors of 482 that divides 482 without a remainder.
1, 2, 241, 482
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Divisors of 410
List of positive integer divisors of 410 that divides 410 without a remainder.
1, 2, 5, 10, 41, 82, 205, 410
Greatest Common Divisior
We found the divisors of 123, 482, 23, 410 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 482, 23, 410 is 1.
Therefore, GCD of numbers 123, 482, 23, 410 is 1
Given Input Data is 123, 482, 23, 410
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 123 is 3 x 41
Prime Factorization of 482 is 2 x 241
Prime Factorization of 23 is 23
Prime Factorization of 410 is 2 x 5 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(123, 482) = 59286
GCD(123, 482) = ( 123 x 482 ) / 59286
GCD(123, 482) = 59286 / 59286
GCD(123, 482) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 23
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 23) = 23
GCD(1, 23) = ( 1 x 23 ) / 23
GCD(1, 23) = 23 / 23
GCD(1, 23) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 410
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 410) = 410
GCD(1, 410) = ( 1 x 410 ) / 410
GCD(1, 410) = 410 / 410
GCD(1, 410) = 1
GCD of 123, 482, 23, 410 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 123, 482, 23, 410?
GCD of 123, 482, 23, 410 is 1
2. Where do I get the detailed procedure to find GCD of 123, 482, 23, 410?
You can find a detailed procedure to find GCD of 123, 482, 23, 410 on our page.
3. How to find GCD of 123, 482, 23, 410 on a calculator?
You can find the GCD of 123, 482, 23, 410 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.