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, 888, 80, 723 i.e. 1 largest integer that divides all the numbers equally.
GCD of 723, 888, 80, 723 is 1
GCD(723, 888, 80, 723) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 723, 888, 80, 723 is 1
GCD(723, 888, 80, 723) = 1
Given Input numbers are 723, 888, 80, 723
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 888
List of positive integer divisors of 888 that divides 888 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 723
List of positive integer divisors of 723 that divides 723 without a remainder.
1, 3, 241, 723
Greatest Common Divisior
We found the divisors of 723, 888, 80, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 888, 80, 723 is 1.
Therefore, GCD of numbers 723, 888, 80, 723 is 1
Given Input Data is 723, 888, 80, 723
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 723 is 3 x 241
Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 723 is 3 x 241
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, 888) = 214008
GCD(723, 888) = ( 723 x 888 ) / 214008
GCD(723, 888) = 642024 / 214008
GCD(723, 888) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 80) = 240
GCD(3, 80) = ( 3 x 80 ) / 240
GCD(3, 80) = 240 / 240
GCD(3, 80) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 723
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 723) = 723
GCD(1, 723) = ( 1 x 723 ) / 723
GCD(1, 723) = 723 / 723
GCD(1, 723) = 1
GCD of 723, 888, 80, 723 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 723, 888, 80, 723?
GCD of 723, 888, 80, 723 is 1
2. Where do I get the detailed procedure to find GCD of 723, 888, 80, 723?
You can find a detailed procedure to find GCD of 723, 888, 80, 723 on our page.
3. How to find GCD of 723, 888, 80, 723 on a calculator?
You can find the GCD of 723, 888, 80, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.