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 324, 813, 529, 208 i.e. 1 largest integer that divides all the numbers equally.
GCD of 324, 813, 529, 208 is 1
GCD(324, 813, 529, 208) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 324, 813, 529, 208 is 1
GCD(324, 813, 529, 208) = 1
Given Input numbers are 324, 813, 529, 208
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 813
List of positive integer divisors of 813 that divides 813 without a remainder.
1, 3, 271, 813
Divisors of 529
List of positive integer divisors of 529 that divides 529 without a remainder.
1, 23, 529
Divisors of 208
List of positive integer divisors of 208 that divides 208 without a remainder.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Greatest Common Divisior
We found the divisors of 324, 813, 529, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 324, 813, 529, 208 is 1.
Therefore, GCD of numbers 324, 813, 529, 208 is 1
Given Input Data is 324, 813, 529, 208
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 813 is 3 x 271
Prime Factorization of 529 is 23 x 23
Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13
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(324, 813) = 87804
GCD(324, 813) = ( 324 x 813 ) / 87804
GCD(324, 813) = 263412 / 87804
GCD(324, 813) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 529
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 529) = 1587
GCD(3, 529) = ( 3 x 529 ) / 1587
GCD(3, 529) = 1587 / 1587
GCD(3, 529) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 208
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 208) = 208
GCD(1, 208) = ( 1 x 208 ) / 208
GCD(1, 208) = 208 / 208
GCD(1, 208) = 1
GCD of 324, 813, 529, 208 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 324, 813, 529, 208?
GCD of 324, 813, 529, 208 is 1
2. Where do I get the detailed procedure to find GCD of 324, 813, 529, 208?
You can find a detailed procedure to find GCD of 324, 813, 529, 208 on our page.
3. How to find GCD of 324, 813, 529, 208 on a calculator?
You can find the GCD of 324, 813, 529, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.