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, 481, 302, 417 i.e. 1 largest integer that divides all the numbers equally.
GCD of 123, 481, 302, 417 is 1
GCD(123, 481, 302, 417) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 123, 481, 302, 417 is 1
GCD(123, 481, 302, 417) = 1
Given Input numbers are 123, 481, 302, 417
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 481
List of positive integer divisors of 481 that divides 481 without a remainder.
1, 13, 37, 481
Divisors of 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Divisors of 417
List of positive integer divisors of 417 that divides 417 without a remainder.
1, 3, 139, 417
Greatest Common Divisior
We found the divisors of 123, 481, 302, 417 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 481, 302, 417 is 1.
Therefore, GCD of numbers 123, 481, 302, 417 is 1
Given Input Data is 123, 481, 302, 417
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 123 is 3 x 41
Prime Factorization of 481 is 13 x 37
Prime Factorization of 302 is 2 x 151
Prime Factorization of 417 is 3 x 139
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, 481) = 59163
GCD(123, 481) = ( 123 x 481 ) / 59163
GCD(123, 481) = 59163 / 59163
GCD(123, 481) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 302
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 302) = 302
GCD(1, 302) = ( 1 x 302 ) / 302
GCD(1, 302) = 302 / 302
GCD(1, 302) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 417
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 417) = 417
GCD(1, 417) = ( 1 x 417 ) / 417
GCD(1, 417) = 417 / 417
GCD(1, 417) = 1
GCD of 123, 481, 302, 417 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 123, 481, 302, 417?
GCD of 123, 481, 302, 417 is 1
2. Where do I get the detailed procedure to find GCD of 123, 481, 302, 417?
You can find a detailed procedure to find GCD of 123, 481, 302, 417 on our page.
3. How to find GCD of 123, 481, 302, 417 on a calculator?
You can find the GCD of 123, 481, 302, 417 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.