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 378, 571, 382, 430 i.e. 1 largest integer that divides all the numbers equally.
GCD of 378, 571, 382, 430 is 1
GCD(378, 571, 382, 430) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 378, 571, 382, 430 is 1
GCD(378, 571, 382, 430) = 1
Given Input numbers are 378, 571, 382, 430
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 571
List of positive integer divisors of 571 that divides 571 without a remainder.
1, 571
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Divisors of 430
List of positive integer divisors of 430 that divides 430 without a remainder.
1, 2, 5, 10, 43, 86, 215, 430
Greatest Common Divisior
We found the divisors of 378, 571, 382, 430 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 571, 382, 430 is 1.
Therefore, GCD of numbers 378, 571, 382, 430 is 1
Given Input Data is 378, 571, 382, 430
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 571 is 571
Prime Factorization of 382 is 2 x 191
Prime Factorization of 430 is 2 x 5 x 43
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(378, 571) = 215838
GCD(378, 571) = ( 378 x 571 ) / 215838
GCD(378, 571) = 215838 / 215838
GCD(378, 571) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 382
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 382) = 382
GCD(1, 382) = ( 1 x 382 ) / 382
GCD(1, 382) = 382 / 382
GCD(1, 382) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 430
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 430) = 430
GCD(1, 430) = ( 1 x 430 ) / 430
GCD(1, 430) = 430 / 430
GCD(1, 430) = 1
GCD of 378, 571, 382, 430 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 378, 571, 382, 430?
GCD of 378, 571, 382, 430 is 1
2. Where do I get the detailed procedure to find GCD of 378, 571, 382, 430?
You can find a detailed procedure to find GCD of 378, 571, 382, 430 on our page.
3. How to find GCD of 378, 571, 382, 430 on a calculator?
You can find the GCD of 378, 571, 382, 430 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.