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 592, 718, 15, 309 i.e. 1 largest integer that divides all the numbers equally.
GCD of 592, 718, 15, 309 is 1
GCD(592, 718, 15, 309) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 592, 718, 15, 309 is 1
GCD(592, 718, 15, 309) = 1
Given Input numbers are 592, 718, 15, 309
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 592
List of positive integer divisors of 592 that divides 592 without a remainder.
1, 2, 4, 8, 16, 37, 74, 148, 296, 592
Divisors of 718
List of positive integer divisors of 718 that divides 718 without a remainder.
1, 2, 359, 718
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Greatest Common Divisior
We found the divisors of 592, 718, 15, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 592, 718, 15, 309 is 1.
Therefore, GCD of numbers 592, 718, 15, 309 is 1
Given Input Data is 592, 718, 15, 309
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37
Prime Factorization of 718 is 2 x 359
Prime Factorization of 15 is 3 x 5
Prime Factorization of 309 is 3 x 103
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(592, 718) = 212528
GCD(592, 718) = ( 592 x 718 ) / 212528
GCD(592, 718) = 425056 / 212528
GCD(592, 718) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 15) = 30
GCD(2, 15) = ( 2 x 15 ) / 30
GCD(2, 15) = 30 / 30
GCD(2, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 309
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 309) = 309
GCD(1, 309) = ( 1 x 309 ) / 309
GCD(1, 309) = 309 / 309
GCD(1, 309) = 1
GCD of 592, 718, 15, 309 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 592, 718, 15, 309?
GCD of 592, 718, 15, 309 is 1
2. Where do I get the detailed procedure to find GCD of 592, 718, 15, 309?
You can find a detailed procedure to find GCD of 592, 718, 15, 309 on our page.
3. How to find GCD of 592, 718, 15, 309 on a calculator?
You can find the GCD of 592, 718, 15, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.