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 809, 964, 223, 738 i.e. 1 largest integer that divides all the numbers equally.
GCD of 809, 964, 223, 738 is 1
GCD(809, 964, 223, 738) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 809, 964, 223, 738 is 1
GCD(809, 964, 223, 738) = 1
Given Input numbers are 809, 964, 223, 738
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 809
List of positive integer divisors of 809 that divides 809 without a remainder.
1, 809
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Divisors of 223
List of positive integer divisors of 223 that divides 223 without a remainder.
1, 223
Divisors of 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Greatest Common Divisior
We found the divisors of 809, 964, 223, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 809, 964, 223, 738 is 1.
Therefore, GCD of numbers 809, 964, 223, 738 is 1
Given Input Data is 809, 964, 223, 738
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 809 is 809
Prime Factorization of 964 is 2 x 2 x 241
Prime Factorization of 223 is 223
Prime Factorization of 738 is 2 x 3 x 3 x 41
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(809, 964) = 779876
GCD(809, 964) = ( 809 x 964 ) / 779876
GCD(809, 964) = 779876 / 779876
GCD(809, 964) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 223
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 223) = 223
GCD(1, 223) = ( 1 x 223 ) / 223
GCD(1, 223) = 223 / 223
GCD(1, 223) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 738
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 738) = 738
GCD(1, 738) = ( 1 x 738 ) / 738
GCD(1, 738) = 738 / 738
GCD(1, 738) = 1
GCD of 809, 964, 223, 738 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 809, 964, 223, 738?
GCD of 809, 964, 223, 738 is 1
2. Where do I get the detailed procedure to find GCD of 809, 964, 223, 738?
You can find a detailed procedure to find GCD of 809, 964, 223, 738 on our page.
3. How to find GCD of 809, 964, 223, 738 on a calculator?
You can find the GCD of 809, 964, 223, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.