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, 675, 135, 364 i.e. 1 largest integer that divides all the numbers equally.
GCD of 304, 675, 135, 364 is 1
GCD(304, 675, 135, 364) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 304, 675, 135, 364 is 1
GCD(304, 675, 135, 364) = 1
Given Input numbers are 304, 675, 135, 364
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 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Greatest Common Divisior
We found the divisors of 304, 675, 135, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 675, 135, 364 is 1.
Therefore, GCD of numbers 304, 675, 135, 364 is 1
Given Input Data is 304, 675, 135, 364
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 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 135 is 3 x 3 x 3 x 5
Prime Factorization of 364 is 2 x 2 x 7 x 13
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, 675) = 205200
GCD(304, 675) = ( 304 x 675 ) / 205200
GCD(304, 675) = 205200 / 205200
GCD(304, 675) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 135
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
GCD(1, 135) = 135 / 135
GCD(1, 135) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 364
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 364) = 364
GCD(1, 364) = ( 1 x 364 ) / 364
GCD(1, 364) = 364 / 364
GCD(1, 364) = 1
GCD of 304, 675, 135, 364 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 304, 675, 135, 364?
GCD of 304, 675, 135, 364 is 1
2. Where do I get the detailed procedure to find GCD of 304, 675, 135, 364?
You can find a detailed procedure to find GCD of 304, 675, 135, 364 on our page.
3. How to find GCD of 304, 675, 135, 364 on a calculator?
You can find the GCD of 304, 675, 135, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.