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 397, 356, 15, 592 i.e. 1 largest integer that divides all the numbers equally.
GCD of 397, 356, 15, 592 is 1
GCD(397, 356, 15, 592) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 397, 356, 15, 592 is 1
GCD(397, 356, 15, 592) = 1
Given Input numbers are 397, 356, 15, 592
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 397
List of positive integer divisors of 397 that divides 397 without a remainder.
1, 397
Divisors of 356
List of positive integer divisors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178, 356
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
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
Greatest Common Divisior
We found the divisors of 397, 356, 15, 592 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 397, 356, 15, 592 is 1.
Therefore, GCD of numbers 397, 356, 15, 592 is 1
Given Input Data is 397, 356, 15, 592
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 397 is 397
Prime Factorization of 356 is 2 x 2 x 89
Prime Factorization of 15 is 3 x 5
Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37
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(397, 356) = 141332
GCD(397, 356) = ( 397 x 356 ) / 141332
GCD(397, 356) = 141332 / 141332
GCD(397, 356) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 15) = 15
GCD(1, 15) = ( 1 x 15 ) / 15
GCD(1, 15) = 15 / 15
GCD(1, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 592
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 592) = 592
GCD(1, 592) = ( 1 x 592 ) / 592
GCD(1, 592) = 592 / 592
GCD(1, 592) = 1
GCD of 397, 356, 15, 592 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 397, 356, 15, 592?
GCD of 397, 356, 15, 592 is 1
2. Where do I get the detailed procedure to find GCD of 397, 356, 15, 592?
You can find a detailed procedure to find GCD of 397, 356, 15, 592 on our page.
3. How to find GCD of 397, 356, 15, 592 on a calculator?
You can find the GCD of 397, 356, 15, 592 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.