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 404, 280, 82, 379 i.e. 1 largest integer that divides all the numbers equally.
GCD of 404, 280, 82, 379 is 1
GCD(404, 280, 82, 379) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 404, 280, 82, 379 is 1
GCD(404, 280, 82, 379) = 1
Given Input numbers are 404, 280, 82, 379
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Divisors of 280
List of positive integer divisors of 280 that divides 280 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 379
List of positive integer divisors of 379 that divides 379 without a remainder.
1, 379
Greatest Common Divisior
We found the divisors of 404, 280, 82, 379 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 404, 280, 82, 379 is 1.
Therefore, GCD of numbers 404, 280, 82, 379 is 1
Given Input Data is 404, 280, 82, 379
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 404 is 2 x 2 x 101
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
Prime Factorization of 82 is 2 x 41
Prime Factorization of 379 is 379
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(404, 280) = 28280
GCD(404, 280) = ( 404 x 280 ) / 28280
GCD(404, 280) = 113120 / 28280
GCD(404, 280) = 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 379
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 379) = 758
GCD(2, 379) = ( 2 x 379 ) / 758
GCD(2, 379) = 758 / 758
GCD(2, 379) = 1
GCD of 404, 280, 82, 379 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 404, 280, 82, 379?
GCD of 404, 280, 82, 379 is 1
2. Where do I get the detailed procedure to find GCD of 404, 280, 82, 379?
You can find a detailed procedure to find GCD of 404, 280, 82, 379 on our page.
3. How to find GCD of 404, 280, 82, 379 on a calculator?
You can find the GCD of 404, 280, 82, 379 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.