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 813, 289, 470, 464 i.e. 1 largest integer that divides all the numbers equally.
GCD of 813, 289, 470, 464 is 1
GCD(813, 289, 470, 464) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 813, 289, 470, 464 is 1
GCD(813, 289, 470, 464) = 1
Given Input numbers are 813, 289, 470, 464
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 813
List of positive integer divisors of 813 that divides 813 without a remainder.
1, 3, 271, 813
Divisors of 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 464
List of positive integer divisors of 464 that divides 464 without a remainder.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Greatest Common Divisior
We found the divisors of 813, 289, 470, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 813, 289, 470, 464 is 1.
Therefore, GCD of numbers 813, 289, 470, 464 is 1
Given Input Data is 813, 289, 470, 464
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 813 is 3 x 271
Prime Factorization of 289 is 17 x 17
Prime Factorization of 470 is 2 x 5 x 47
Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29
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(813, 289) = 234957
GCD(813, 289) = ( 813 x 289 ) / 234957
GCD(813, 289) = 234957 / 234957
GCD(813, 289) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 470
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 470) = 470
GCD(1, 470) = ( 1 x 470 ) / 470
GCD(1, 470) = 470 / 470
GCD(1, 470) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 464
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 464) = 464
GCD(1, 464) = ( 1 x 464 ) / 464
GCD(1, 464) = 464 / 464
GCD(1, 464) = 1
GCD of 813, 289, 470, 464 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 813, 289, 470, 464?
GCD of 813, 289, 470, 464 is 1
2. Where do I get the detailed procedure to find GCD of 813, 289, 470, 464?
You can find a detailed procedure to find GCD of 813, 289, 470, 464 on our page.
3. How to find GCD of 813, 289, 470, 464 on a calculator?
You can find the GCD of 813, 289, 470, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.