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 304, 582, 478, 629 i.e. 1 largest integer that divides all the numbers equally.
GCD of 304, 582, 478, 629 is 1
GCD(304, 582, 478, 629) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 304, 582, 478, 629 is 1
GCD(304, 582, 478, 629) = 1
Given Input numbers are 304, 582, 478, 629
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 582
List of positive integer divisors of 582 that divides 582 without a remainder.
1, 2, 3, 6, 97, 194, 291, 582
Divisors of 478
List of positive integer divisors of 478 that divides 478 without a remainder.
1, 2, 239, 478
Divisors of 629
List of positive integer divisors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Greatest Common Divisior
We found the divisors of 304, 582, 478, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 582, 478, 629 is 1.
Therefore, GCD of numbers 304, 582, 478, 629 is 1
Given Input Data is 304, 582, 478, 629
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
Prime Factorization of 582 is 2 x 3 x 97
Prime Factorization of 478 is 2 x 239
Prime Factorization of 629 is 17 x 37
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(304, 582) = 88464
GCD(304, 582) = ( 304 x 582 ) / 88464
GCD(304, 582) = 176928 / 88464
GCD(304, 582) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 478
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 478) = 478
GCD(2, 478) = ( 2 x 478 ) / 478
GCD(2, 478) = 956 / 478
GCD(2, 478) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 629
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 629) = 1258
GCD(2, 629) = ( 2 x 629 ) / 1258
GCD(2, 629) = 1258 / 1258
GCD(2, 629) = 1
GCD of 304, 582, 478, 629 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 304, 582, 478, 629?
GCD of 304, 582, 478, 629 is 1
2. Where do I get the detailed procedure to find GCD of 304, 582, 478, 629?
You can find a detailed procedure to find GCD of 304, 582, 478, 629 on our page.
3. How to find GCD of 304, 582, 478, 629 on a calculator?
You can find the GCD of 304, 582, 478, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.