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, 302, 575, 212 i.e. 1 largest integer that divides all the numbers equally.
GCD of 813, 302, 575, 212 is 1
GCD(813, 302, 575, 212) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 813, 302, 575, 212 is 1
GCD(813, 302, 575, 212) = 1
Given Input numbers are 813, 302, 575, 212
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 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Divisors of 575
List of positive integer divisors of 575 that divides 575 without a remainder.
1, 5, 23, 25, 115, 575
Divisors of 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
Greatest Common Divisior
We found the divisors of 813, 302, 575, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 813, 302, 575, 212 is 1.
Therefore, GCD of numbers 813, 302, 575, 212 is 1
Given Input Data is 813, 302, 575, 212
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 813 is 3 x 271
Prime Factorization of 302 is 2 x 151
Prime Factorization of 575 is 5 x 5 x 23
Prime Factorization of 212 is 2 x 2 x 53
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, 302) = 245526
GCD(813, 302) = ( 813 x 302 ) / 245526
GCD(813, 302) = 245526 / 245526
GCD(813, 302) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 575
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 575) = 575
GCD(1, 575) = ( 1 x 575 ) / 575
GCD(1, 575) = 575 / 575
GCD(1, 575) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 212
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 212) = 212
GCD(1, 212) = ( 1 x 212 ) / 212
GCD(1, 212) = 212 / 212
GCD(1, 212) = 1
GCD of 813, 302, 575, 212 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 813, 302, 575, 212?
GCD of 813, 302, 575, 212 is 1
2. Where do I get the detailed procedure to find GCD of 813, 302, 575, 212?
You can find a detailed procedure to find GCD of 813, 302, 575, 212 on our page.
3. How to find GCD of 813, 302, 575, 212 on a calculator?
You can find the GCD of 813, 302, 575, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.