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, 884, 331, 202 i.e. 1 largest integer that divides all the numbers equally.
GCD of 723, 884, 331, 202 is 1
GCD(723, 884, 331, 202) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 723, 884, 331, 202 is 1
GCD(723, 884, 331, 202) = 1
Given Input numbers are 723, 884, 331, 202
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 884
List of positive integer divisors of 884 that divides 884 without a remainder.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
Divisors of 331
List of positive integer divisors of 331 that divides 331 without a remainder.
1, 331
Divisors of 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Greatest Common Divisior
We found the divisors of 723, 884, 331, 202 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 884, 331, 202 is 1.
Therefore, GCD of numbers 723, 884, 331, 202 is 1
Given Input Data is 723, 884, 331, 202
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 723 is 3 x 241
Prime Factorization of 884 is 2 x 2 x 13 x 17
Prime Factorization of 331 is 331
Prime Factorization of 202 is 2 x 101
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, 884) = 639132
GCD(723, 884) = ( 723 x 884 ) / 639132
GCD(723, 884) = 639132 / 639132
GCD(723, 884) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 331
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 331) = 331
GCD(1, 331) = ( 1 x 331 ) / 331
GCD(1, 331) = 331 / 331
GCD(1, 331) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 202
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 202) = 202
GCD(1, 202) = ( 1 x 202 ) / 202
GCD(1, 202) = 202 / 202
GCD(1, 202) = 1
GCD of 723, 884, 331, 202 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 723, 884, 331, 202?
GCD of 723, 884, 331, 202 is 1
2. Where do I get the detailed procedure to find GCD of 723, 884, 331, 202?
You can find a detailed procedure to find GCD of 723, 884, 331, 202 on our page.
3. How to find GCD of 723, 884, 331, 202 on a calculator?
You can find the GCD of 723, 884, 331, 202 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.