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 323, 541, 713, 264 i.e. 1 largest integer that divides all the numbers equally.
GCD of 323, 541, 713, 264 is 1
GCD(323, 541, 713, 264) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 323, 541, 713, 264 is 1
GCD(323, 541, 713, 264) = 1
Given Input numbers are 323, 541, 713, 264
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Divisors of 541
List of positive integer divisors of 541 that divides 541 without a remainder.
1, 541
Divisors of 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Divisors of 264
List of positive integer divisors of 264 that divides 264 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Greatest Common Divisior
We found the divisors of 323, 541, 713, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 323, 541, 713, 264 is 1.
Therefore, GCD of numbers 323, 541, 713, 264 is 1
Given Input Data is 323, 541, 713, 264
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 323 is 17 x 19
Prime Factorization of 541 is 541
Prime Factorization of 713 is 23 x 31
Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11
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(323, 541) = 174743
GCD(323, 541) = ( 323 x 541 ) / 174743
GCD(323, 541) = 174743 / 174743
GCD(323, 541) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 713
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 713) = 713
GCD(1, 713) = ( 1 x 713 ) / 713
GCD(1, 713) = 713 / 713
GCD(1, 713) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 264
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 264) = 264
GCD(1, 264) = ( 1 x 264 ) / 264
GCD(1, 264) = 264 / 264
GCD(1, 264) = 1
GCD of 323, 541, 713, 264 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 323, 541, 713, 264?
GCD of 323, 541, 713, 264 is 1
2. Where do I get the detailed procedure to find GCD of 323, 541, 713, 264?
You can find a detailed procedure to find GCD of 323, 541, 713, 264 on our page.
3. How to find GCD of 323, 541, 713, 264 on a calculator?
You can find the GCD of 323, 541, 713, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.