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, 198, 450, 460 i.e. 1 largest integer that divides all the numbers equally.
GCD of 813, 198, 450, 460 is 1
GCD(813, 198, 450, 460) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 813, 198, 450, 460 is 1
GCD(813, 198, 450, 460) = 1
Given Input numbers are 813, 198, 450, 460
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 198
List of positive integer divisors of 198 that divides 198 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 450
List of positive integer divisors of 450 that divides 450 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Greatest Common Divisior
We found the divisors of 813, 198, 450, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 813, 198, 450, 460 is 1.
Therefore, GCD of numbers 813, 198, 450, 460 is 1
Given Input Data is 813, 198, 450, 460
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 813 is 3 x 271
Prime Factorization of 198 is 2 x 3 x 3 x 11
Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5
Prime Factorization of 460 is 2 x 2 x 5 x 23
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, 198) = 53658
GCD(813, 198) = ( 813 x 198 ) / 53658
GCD(813, 198) = 160974 / 53658
GCD(813, 198) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 450
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 450) = 450
GCD(3, 450) = ( 3 x 450 ) / 450
GCD(3, 450) = 1350 / 450
GCD(3, 450) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 460
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 460) = 1380
GCD(3, 460) = ( 3 x 460 ) / 1380
GCD(3, 460) = 1380 / 1380
GCD(3, 460) = 1
GCD of 813, 198, 450, 460 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 813, 198, 450, 460?
GCD of 813, 198, 450, 460 is 1
2. Where do I get the detailed procedure to find GCD of 813, 198, 450, 460?
You can find a detailed procedure to find GCD of 813, 198, 450, 460 on our page.
3. How to find GCD of 813, 198, 450, 460 on a calculator?
You can find the GCD of 813, 198, 450, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.