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, 988, 31, 731 i.e. 1 largest integer that divides all the numbers equally.
GCD of 723, 988, 31, 731 is 1
GCD(723, 988, 31, 731) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 723, 988, 31, 731 is 1
GCD(723, 988, 31, 731) = 1
Given Input numbers are 723, 988, 31, 731
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 988
List of positive integer divisors of 988 that divides 988 without a remainder.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Greatest Common Divisior
We found the divisors of 723, 988, 31, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 988, 31, 731 is 1.
Therefore, GCD of numbers 723, 988, 31, 731 is 1
Given Input Data is 723, 988, 31, 731
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 723 is 3 x 241
Prime Factorization of 988 is 2 x 2 x 13 x 19
Prime Factorization of 31 is 31
Prime Factorization of 731 is 17 x 43
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, 988) = 714324
GCD(723, 988) = ( 723 x 988 ) / 714324
GCD(723, 988) = 714324 / 714324
GCD(723, 988) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
GCD(1, 31) = 31 / 31
GCD(1, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 731
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 731) = 731
GCD(1, 731) = ( 1 x 731 ) / 731
GCD(1, 731) = 731 / 731
GCD(1, 731) = 1
GCD of 723, 988, 31, 731 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 723, 988, 31, 731?
GCD of 723, 988, 31, 731 is 1
2. Where do I get the detailed procedure to find GCD of 723, 988, 31, 731?
You can find a detailed procedure to find GCD of 723, 988, 31, 731 on our page.
3. How to find GCD of 723, 988, 31, 731 on a calculator?
You can find the GCD of 723, 988, 31, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.