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 774, 325, 36, 304 i.e. 1 largest integer that divides all the numbers equally.
GCD of 774, 325, 36, 304 is 1
GCD(774, 325, 36, 304) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 774, 325, 36, 304 is 1
GCD(774, 325, 36, 304) = 1
Given Input numbers are 774, 325, 36, 304
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 774
List of positive integer divisors of 774 that divides 774 without a remainder.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 325
List of positive integer divisors of 325 that divides 325 without a remainder.
1, 5, 13, 25, 65, 325
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
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
Greatest Common Divisior
We found the divisors of 774, 325, 36, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 325, 36, 304 is 1.
Therefore, GCD of numbers 774, 325, 36, 304 is 1
Given Input Data is 774, 325, 36, 304
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 774 is 2 x 3 x 3 x 43
Prime Factorization of 325 is 5 x 5 x 13
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 304 is 2 x 2 x 2 x 2 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(774, 325) = 251550
GCD(774, 325) = ( 774 x 325 ) / 251550
GCD(774, 325) = 251550 / 251550
GCD(774, 325) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 36) = 36
GCD(1, 36) = ( 1 x 36 ) / 36
GCD(1, 36) = 36 / 36
GCD(1, 36) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 304
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 304) = 304
GCD(1, 304) = ( 1 x 304 ) / 304
GCD(1, 304) = 304 / 304
GCD(1, 304) = 1
GCD of 774, 325, 36, 304 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 774, 325, 36, 304?
GCD of 774, 325, 36, 304 is 1
2. Where do I get the detailed procedure to find GCD of 774, 325, 36, 304?
You can find a detailed procedure to find GCD of 774, 325, 36, 304 on our page.
3. How to find GCD of 774, 325, 36, 304 on a calculator?
You can find the GCD of 774, 325, 36, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.