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 758, 307, 304, 116 i.e. 1 largest integer that divides all the numbers equally.
GCD of 758, 307, 304, 116 is 1
GCD(758, 307, 304, 116) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 758, 307, 304, 116 is 1
GCD(758, 307, 304, 116) = 1
Given Input numbers are 758, 307, 304, 116
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 758
List of positive integer divisors of 758 that divides 758 without a remainder.
1, 2, 379, 758
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
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 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Greatest Common Divisior
We found the divisors of 758, 307, 304, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 758, 307, 304, 116 is 1.
Therefore, GCD of numbers 758, 307, 304, 116 is 1
Given Input Data is 758, 307, 304, 116
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 758 is 2 x 379
Prime Factorization of 307 is 307
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
Prime Factorization of 116 is 2 x 2 x 29
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(758, 307) = 232706
GCD(758, 307) = ( 758 x 307 ) / 232706
GCD(758, 307) = 232706 / 232706
GCD(758, 307) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 116
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 116) = 116
GCD(1, 116) = ( 1 x 116 ) / 116
GCD(1, 116) = 116 / 116
GCD(1, 116) = 1
GCD of 758, 307, 304, 116 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 758, 307, 304, 116?
GCD of 758, 307, 304, 116 is 1
2. Where do I get the detailed procedure to find GCD of 758, 307, 304, 116?
You can find a detailed procedure to find GCD of 758, 307, 304, 116 on our page.
3. How to find GCD of 758, 307, 304, 116 on a calculator?
You can find the GCD of 758, 307, 304, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.