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, 842, 206, 815 i.e. 1 largest integer that divides all the numbers equally.
GCD of 723, 842, 206, 815 is 1
GCD(723, 842, 206, 815) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 723, 842, 206, 815 is 1
GCD(723, 842, 206, 815) = 1
Given Input numbers are 723, 842, 206, 815
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 842
List of positive integer divisors of 842 that divides 842 without a remainder.
1, 2, 421, 842
Divisors of 206
List of positive integer divisors of 206 that divides 206 without a remainder.
1, 2, 103, 206
Divisors of 815
List of positive integer divisors of 815 that divides 815 without a remainder.
1, 5, 163, 815
Greatest Common Divisior
We found the divisors of 723, 842, 206, 815 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 842, 206, 815 is 1.
Therefore, GCD of numbers 723, 842, 206, 815 is 1
Given Input Data is 723, 842, 206, 815
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 723 is 3 x 241
Prime Factorization of 842 is 2 x 421
Prime Factorization of 206 is 2 x 103
Prime Factorization of 815 is 5 x 163
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, 842) = 608766
GCD(723, 842) = ( 723 x 842 ) / 608766
GCD(723, 842) = 608766 / 608766
GCD(723, 842) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 206
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 206) = 206
GCD(1, 206) = ( 1 x 206 ) / 206
GCD(1, 206) = 206 / 206
GCD(1, 206) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 815
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 815) = 815
GCD(1, 815) = ( 1 x 815 ) / 815
GCD(1, 815) = 815 / 815
GCD(1, 815) = 1
GCD of 723, 842, 206, 815 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 723, 842, 206, 815?
GCD of 723, 842, 206, 815 is 1
2. Where do I get the detailed procedure to find GCD of 723, 842, 206, 815?
You can find a detailed procedure to find GCD of 723, 842, 206, 815 on our page.
3. How to find GCD of 723, 842, 206, 815 on a calculator?
You can find the GCD of 723, 842, 206, 815 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.