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 579, 498, 47, 380 i.e. 1 largest integer that divides all the numbers equally.
GCD of 579, 498, 47, 380 is 1
GCD(579, 498, 47, 380) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 579, 498, 47, 380 is 1
GCD(579, 498, 47, 380) = 1
Given Input numbers are 579, 498, 47, 380
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 579
List of positive integer divisors of 579 that divides 579 without a remainder.
1, 3, 193, 579
Divisors of 498
List of positive integer divisors of 498 that divides 498 without a remainder.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Greatest Common Divisior
We found the divisors of 579, 498, 47, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 579, 498, 47, 380 is 1.
Therefore, GCD of numbers 579, 498, 47, 380 is 1
Given Input Data is 579, 498, 47, 380
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 579 is 3 x 193
Prime Factorization of 498 is 2 x 3 x 83
Prime Factorization of 47 is 47
Prime Factorization of 380 is 2 x 2 x 5 x 19
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(579, 498) = 96114
GCD(579, 498) = ( 579 x 498 ) / 96114
GCD(579, 498) = 288342 / 96114
GCD(579, 498) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 47) = 141
GCD(3, 47) = ( 3 x 47 ) / 141
GCD(3, 47) = 141 / 141
GCD(3, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 380
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 380) = 380
GCD(1, 380) = ( 1 x 380 ) / 380
GCD(1, 380) = 380 / 380
GCD(1, 380) = 1
GCD of 579, 498, 47, 380 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 579, 498, 47, 380?
GCD of 579, 498, 47, 380 is 1
2. Where do I get the detailed procedure to find GCD of 579, 498, 47, 380?
You can find a detailed procedure to find GCD of 579, 498, 47, 380 on our page.
3. How to find GCD of 579, 498, 47, 380 on a calculator?
You can find the GCD of 579, 498, 47, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.