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, 528, 34, 575 i.e. 1 largest integer that divides all the numbers equally.
GCD of 813, 528, 34, 575 is 1
GCD(813, 528, 34, 575) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 813, 528, 34, 575 is 1
GCD(813, 528, 34, 575) = 1
Given Input numbers are 813, 528, 34, 575
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 528
List of positive integer divisors of 528 that divides 528 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Divisors of 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 575
List of positive integer divisors of 575 that divides 575 without a remainder.
1, 5, 23, 25, 115, 575
Greatest Common Divisior
We found the divisors of 813, 528, 34, 575 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 813, 528, 34, 575 is 1.
Therefore, GCD of numbers 813, 528, 34, 575 is 1
Given Input Data is 813, 528, 34, 575
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 813 is 3 x 271
Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11
Prime Factorization of 34 is 2 x 17
Prime Factorization of 575 is 5 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, 528) = 143088
GCD(813, 528) = ( 813 x 528 ) / 143088
GCD(813, 528) = 429264 / 143088
GCD(813, 528) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 34
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 34) = 102
GCD(3, 34) = ( 3 x 34 ) / 102
GCD(3, 34) = 102 / 102
GCD(3, 34) = 1
Step3:
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
GCD of 813, 528, 34, 575 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 813, 528, 34, 575?
GCD of 813, 528, 34, 575 is 1
2. Where do I get the detailed procedure to find GCD of 813, 528, 34, 575?
You can find a detailed procedure to find GCD of 813, 528, 34, 575 on our page.
3. How to find GCD of 813, 528, 34, 575 on a calculator?
You can find the GCD of 813, 528, 34, 575 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.