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 712, 723, 856, 905 i.e. 1 largest integer that divides all the numbers equally.
GCD of 712, 723, 856, 905 is 1
GCD(712, 723, 856, 905) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 712, 723, 856, 905 is 1
GCD(712, 723, 856, 905) = 1
Given Input numbers are 712, 723, 856, 905
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 712
List of positive integer divisors of 712 that divides 712 without a remainder.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 723
List of positive integer divisors of 723 that divides 723 without a remainder.
1, 3, 241, 723
Divisors of 856
List of positive integer divisors of 856 that divides 856 without a remainder.
1, 2, 4, 8, 107, 214, 428, 856
Divisors of 905
List of positive integer divisors of 905 that divides 905 without a remainder.
1, 5, 181, 905
Greatest Common Divisior
We found the divisors of 712, 723, 856, 905 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 723, 856, 905 is 1.
Therefore, GCD of numbers 712, 723, 856, 905 is 1
Given Input Data is 712, 723, 856, 905
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 712 is 2 x 2 x 2 x 89
Prime Factorization of 723 is 3 x 241
Prime Factorization of 856 is 2 x 2 x 2 x 107
Prime Factorization of 905 is 5 x 181
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(712, 723) = 514776
GCD(712, 723) = ( 712 x 723 ) / 514776
GCD(712, 723) = 514776 / 514776
GCD(712, 723) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 856
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 856) = 856
GCD(1, 856) = ( 1 x 856 ) / 856
GCD(1, 856) = 856 / 856
GCD(1, 856) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 905
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 905) = 905
GCD(1, 905) = ( 1 x 905 ) / 905
GCD(1, 905) = 905 / 905
GCD(1, 905) = 1
GCD of 712, 723, 856, 905 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 712, 723, 856, 905?
GCD of 712, 723, 856, 905 is 1
2. Where do I get the detailed procedure to find GCD of 712, 723, 856, 905?
You can find a detailed procedure to find GCD of 712, 723, 856, 905 on our page.
3. How to find GCD of 712, 723, 856, 905 on a calculator?
You can find the GCD of 712, 723, 856, 905 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.