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, 713, 90, 932 i.e. 1 largest integer that divides all the numbers equally.
GCD of 397, 713, 90, 932 is 1
GCD(397, 713, 90, 932) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 397, 713, 90, 932 is 1
GCD(397, 713, 90, 932) = 1
Given Input numbers are 397, 713, 90, 932
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 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 932
List of positive integer divisors of 932 that divides 932 without a remainder.
1, 2, 4, 233, 466, 932
Greatest Common Divisior
We found the divisors of 397, 713, 90, 932 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 397, 713, 90, 932 is 1.
Therefore, GCD of numbers 397, 713, 90, 932 is 1
Given Input Data is 397, 713, 90, 932
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 397 is 397
Prime Factorization of 713 is 23 x 31
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 932 is 2 x 2 x 233
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, 713) = 283061
GCD(397, 713) = ( 397 x 713 ) / 283061
GCD(397, 713) = 283061 / 283061
GCD(397, 713) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 90) = 90
GCD(1, 90) = ( 1 x 90 ) / 90
GCD(1, 90) = 90 / 90
GCD(1, 90) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 932
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 932) = 932
GCD(1, 932) = ( 1 x 932 ) / 932
GCD(1, 932) = 932 / 932
GCD(1, 932) = 1
GCD of 397, 713, 90, 932 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 397, 713, 90, 932?
GCD of 397, 713, 90, 932 is 1
2. Where do I get the detailed procedure to find GCD of 397, 713, 90, 932?
You can find a detailed procedure to find GCD of 397, 713, 90, 932 on our page.
3. How to find GCD of 397, 713, 90, 932 on a calculator?
You can find the GCD of 397, 713, 90, 932 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.