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, 736, 13, 907 i.e. 1 largest integer that divides all the numbers equally.
GCD of 304, 736, 13, 907 is 1
GCD(304, 736, 13, 907) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 304, 736, 13, 907 is 1
GCD(304, 736, 13, 907) = 1
Given Input numbers are 304, 736, 13, 907
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 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 907
List of positive integer divisors of 907 that divides 907 without a remainder.
1, 907
Greatest Common Divisior
We found the divisors of 304, 736, 13, 907 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 736, 13, 907 is 1.
Therefore, GCD of numbers 304, 736, 13, 907 is 1
Given Input Data is 304, 736, 13, 907
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 736 is 2 x 2 x 2 x 2 x 2 x 23
Prime Factorization of 13 is 13
Prime Factorization of 907 is 907
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, 736) = 13984
GCD(304, 736) = ( 304 x 736 ) / 13984
GCD(304, 736) = 223744 / 13984
GCD(304, 736) = 16
Step2:
Here we consider the GCD from the above i.e. 16 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(16, 13) = 208
GCD(16, 13) = ( 16 x 13 ) / 208
GCD(16, 13) = 208 / 208
GCD(16, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 907
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 907) = 907
GCD(1, 907) = ( 1 x 907 ) / 907
GCD(1, 907) = 907 / 907
GCD(1, 907) = 1
GCD of 304, 736, 13, 907 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 304, 736, 13, 907?
GCD of 304, 736, 13, 907 is 1
2. Where do I get the detailed procedure to find GCD of 304, 736, 13, 907?
You can find a detailed procedure to find GCD of 304, 736, 13, 907 on our page.
3. How to find GCD of 304, 736, 13, 907 on a calculator?
You can find the GCD of 304, 736, 13, 907 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.