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 31, 597, 328, 466 i.e. 1 largest integer that divides all the numbers equally.
GCD of 31, 597, 328, 466 is 1
GCD(31, 597, 328, 466) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 31, 597, 328, 466 is 1
GCD(31, 597, 328, 466) = 1
Given Input numbers are 31, 597, 328, 466
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 597
List of positive integer divisors of 597 that divides 597 without a remainder.
1, 3, 199, 597
Divisors of 328
List of positive integer divisors of 328 that divides 328 without a remainder.
1, 2, 4, 8, 41, 82, 164, 328
Divisors of 466
List of positive integer divisors of 466 that divides 466 without a remainder.
1, 2, 233, 466
Greatest Common Divisior
We found the divisors of 31, 597, 328, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 597, 328, 466 is 1.
Therefore, GCD of numbers 31, 597, 328, 466 is 1
Given Input Data is 31, 597, 328, 466
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 31 is 31
Prime Factorization of 597 is 3 x 199
Prime Factorization of 328 is 2 x 2 x 2 x 41
Prime Factorization of 466 is 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(31, 597) = 18507
GCD(31, 597) = ( 31 x 597 ) / 18507
GCD(31, 597) = 18507 / 18507
GCD(31, 597) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 328
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 328) = 328
GCD(1, 328) = ( 1 x 328 ) / 328
GCD(1, 328) = 328 / 328
GCD(1, 328) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 466
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 466) = 466
GCD(1, 466) = ( 1 x 466 ) / 466
GCD(1, 466) = 466 / 466
GCD(1, 466) = 1
GCD of 31, 597, 328, 466 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 31, 597, 328, 466?
GCD of 31, 597, 328, 466 is 1
2. Where do I get the detailed procedure to find GCD of 31, 597, 328, 466?
You can find a detailed procedure to find GCD of 31, 597, 328, 466 on our page.
3. How to find GCD of 31, 597, 328, 466 on a calculator?
You can find the GCD of 31, 597, 328, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.