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 723, 293, 261, 327 i.e. 1 largest integer that divides all the numbers equally.
GCD of 723, 293, 261, 327 is 1
GCD(723, 293, 261, 327) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 723, 293, 261, 327 is 1
GCD(723, 293, 261, 327) = 1
Given Input numbers are 723, 293, 261, 327
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 723
List of positive integer divisors of 723 that divides 723 without a remainder.
1, 3, 241, 723
Divisors of 293
List of positive integer divisors of 293 that divides 293 without a remainder.
1, 293
Divisors of 261
List of positive integer divisors of 261 that divides 261 without a remainder.
1, 3, 9, 29, 87, 261
Divisors of 327
List of positive integer divisors of 327 that divides 327 without a remainder.
1, 3, 109, 327
Greatest Common Divisior
We found the divisors of 723, 293, 261, 327 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 293, 261, 327 is 1.
Therefore, GCD of numbers 723, 293, 261, 327 is 1
Given Input Data is 723, 293, 261, 327
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 723 is 3 x 241
Prime Factorization of 293 is 293
Prime Factorization of 261 is 3 x 3 x 29
Prime Factorization of 327 is 3 x 109
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(723, 293) = 211839
GCD(723, 293) = ( 723 x 293 ) / 211839
GCD(723, 293) = 211839 / 211839
GCD(723, 293) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 261
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 261) = 261
GCD(1, 261) = ( 1 x 261 ) / 261
GCD(1, 261) = 261 / 261
GCD(1, 261) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 327
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 327) = 327
GCD(1, 327) = ( 1 x 327 ) / 327
GCD(1, 327) = 327 / 327
GCD(1, 327) = 1
GCD of 723, 293, 261, 327 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 723, 293, 261, 327?
GCD of 723, 293, 261, 327 is 1
2. Where do I get the detailed procedure to find GCD of 723, 293, 261, 327?
You can find a detailed procedure to find GCD of 723, 293, 261, 327 on our page.
3. How to find GCD of 723, 293, 261, 327 on a calculator?
You can find the GCD of 723, 293, 261, 327 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.