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 380, 191, 604, 574 i.e. 1 largest integer that divides all the numbers equally.
GCD of 380, 191, 604, 574 is 1
GCD(380, 191, 604, 574) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 380, 191, 604, 574 is 1
GCD(380, 191, 604, 574) = 1
Given Input numbers are 380, 191, 604, 574
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 191
List of positive integer divisors of 191 that divides 191 without a remainder.
1, 191
Divisors of 604
List of positive integer divisors of 604 that divides 604 without a remainder.
1, 2, 4, 151, 302, 604
Divisors of 574
List of positive integer divisors of 574 that divides 574 without a remainder.
1, 2, 7, 14, 41, 82, 287, 574
Greatest Common Divisior
We found the divisors of 380, 191, 604, 574 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 191, 604, 574 is 1.
Therefore, GCD of numbers 380, 191, 604, 574 is 1
Given Input Data is 380, 191, 604, 574
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 380 is 2 x 2 x 5 x 19
Prime Factorization of 191 is 191
Prime Factorization of 604 is 2 x 2 x 151
Prime Factorization of 574 is 2 x 7 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(380, 191) = 72580
GCD(380, 191) = ( 380 x 191 ) / 72580
GCD(380, 191) = 72580 / 72580
GCD(380, 191) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 604
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 604) = 604
GCD(1, 604) = ( 1 x 604 ) / 604
GCD(1, 604) = 604 / 604
GCD(1, 604) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 574
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 574) = 574
GCD(1, 574) = ( 1 x 574 ) / 574
GCD(1, 574) = 574 / 574
GCD(1, 574) = 1
GCD of 380, 191, 604, 574 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 380, 191, 604, 574?
GCD of 380, 191, 604, 574 is 1
2. Where do I get the detailed procedure to find GCD of 380, 191, 604, 574?
You can find a detailed procedure to find GCD of 380, 191, 604, 574 on our page.
3. How to find GCD of 380, 191, 604, 574 on a calculator?
You can find the GCD of 380, 191, 604, 574 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.