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, 316, 58, 829 i.e. 1 largest integer that divides all the numbers equally.
GCD of 324, 316, 58, 829 is 1
GCD(324, 316, 58, 829) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 324, 316, 58, 829 is 1
GCD(324, 316, 58, 829) = 1
Given Input numbers are 324, 316, 58, 829
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 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 829
List of positive integer divisors of 829 that divides 829 without a remainder.
1, 829
Greatest Common Divisior
We found the divisors of 324, 316, 58, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 324, 316, 58, 829 is 1.
Therefore, GCD of numbers 324, 316, 58, 829 is 1
Given Input Data is 324, 316, 58, 829
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 316 is 2 x 2 x 79
Prime Factorization of 58 is 2 x 29
Prime Factorization of 829 is 829
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, 316) = 25596
GCD(324, 316) = ( 324 x 316 ) / 25596
GCD(324, 316) = 102384 / 25596
GCD(324, 316) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 58
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 58) = 116
GCD(4, 58) = ( 4 x 58 ) / 116
GCD(4, 58) = 232 / 116
GCD(4, 58) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 829
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 829) = 1658
GCD(2, 829) = ( 2 x 829 ) / 1658
GCD(2, 829) = 1658 / 1658
GCD(2, 829) = 1
GCD of 324, 316, 58, 829 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 324, 316, 58, 829?
GCD of 324, 316, 58, 829 is 1
2. Where do I get the detailed procedure to find GCD of 324, 316, 58, 829?
You can find a detailed procedure to find GCD of 324, 316, 58, 829 on our page.
3. How to find GCD of 324, 316, 58, 829 on a calculator?
You can find the GCD of 324, 316, 58, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.