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, 897, 692, 563 i.e. 1 largest integer that divides all the numbers equally.
GCD of 723, 897, 692, 563 is 1
GCD(723, 897, 692, 563) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 723, 897, 692, 563 is 1
GCD(723, 897, 692, 563) = 1
Given Input numbers are 723, 897, 692, 563
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 897
List of positive integer divisors of 897 that divides 897 without a remainder.
1, 3, 13, 23, 39, 69, 299, 897
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Divisors of 563
List of positive integer divisors of 563 that divides 563 without a remainder.
1, 563
Greatest Common Divisior
We found the divisors of 723, 897, 692, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 897, 692, 563 is 1.
Therefore, GCD of numbers 723, 897, 692, 563 is 1
Given Input Data is 723, 897, 692, 563
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 723 is 3 x 241
Prime Factorization of 897 is 3 x 13 x 23
Prime Factorization of 692 is 2 x 2 x 173
Prime Factorization of 563 is 563
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, 897) = 216177
GCD(723, 897) = ( 723 x 897 ) / 216177
GCD(723, 897) = 648531 / 216177
GCD(723, 897) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 692
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 692) = 2076
GCD(3, 692) = ( 3 x 692 ) / 2076
GCD(3, 692) = 2076 / 2076
GCD(3, 692) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 563
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 563) = 563
GCD(1, 563) = ( 1 x 563 ) / 563
GCD(1, 563) = 563 / 563
GCD(1, 563) = 1
GCD of 723, 897, 692, 563 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 723, 897, 692, 563?
GCD of 723, 897, 692, 563 is 1
2. Where do I get the detailed procedure to find GCD of 723, 897, 692, 563?
You can find a detailed procedure to find GCD of 723, 897, 692, 563 on our page.
3. How to find GCD of 723, 897, 692, 563 on a calculator?
You can find the GCD of 723, 897, 692, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.