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, 704, 53, 452 i.e. 1 largest integer that divides all the numbers equally.
GCD of 813, 704, 53, 452 is 1
GCD(813, 704, 53, 452) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 813, 704, 53, 452 is 1
GCD(813, 704, 53, 452) = 1
Given Input numbers are 813, 704, 53, 452
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 704
List of positive integer divisors of 704 that divides 704 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 452
List of positive integer divisors of 452 that divides 452 without a remainder.
1, 2, 4, 113, 226, 452
Greatest Common Divisior
We found the divisors of 813, 704, 53, 452 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 813, 704, 53, 452 is 1.
Therefore, GCD of numbers 813, 704, 53, 452 is 1
Given Input Data is 813, 704, 53, 452
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 813 is 3 x 271
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 53 is 53
Prime Factorization of 452 is 2 x 2 x 113
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, 704) = 572352
GCD(813, 704) = ( 813 x 704 ) / 572352
GCD(813, 704) = 572352 / 572352
GCD(813, 704) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 53
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 53) = 53
GCD(1, 53) = ( 1 x 53 ) / 53
GCD(1, 53) = 53 / 53
GCD(1, 53) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 452
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 452) = 452
GCD(1, 452) = ( 1 x 452 ) / 452
GCD(1, 452) = 452 / 452
GCD(1, 452) = 1
GCD of 813, 704, 53, 452 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 813, 704, 53, 452?
GCD of 813, 704, 53, 452 is 1
2. Where do I get the detailed procedure to find GCD of 813, 704, 53, 452?
You can find a detailed procedure to find GCD of 813, 704, 53, 452 on our page.
3. How to find GCD of 813, 704, 53, 452 on a calculator?
You can find the GCD of 813, 704, 53, 452 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.