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 824, 932, 76, 393 i.e. 1 largest integer that divides all the numbers equally.
GCD of 824, 932, 76, 393 is 1
GCD(824, 932, 76, 393) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 824, 932, 76, 393 is 1
GCD(824, 932, 76, 393) = 1
Given Input numbers are 824, 932, 76, 393
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 932
List of positive integer divisors of 932 that divides 932 without a remainder.
1, 2, 4, 233, 466, 932
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 393
List of positive integer divisors of 393 that divides 393 without a remainder.
1, 3, 131, 393
Greatest Common Divisior
We found the divisors of 824, 932, 76, 393 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 932, 76, 393 is 1.
Therefore, GCD of numbers 824, 932, 76, 393 is 1
Given Input Data is 824, 932, 76, 393
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 824 is 2 x 2 x 2 x 103
Prime Factorization of 932 is 2 x 2 x 233
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 393 is 3 x 131
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(824, 932) = 191992
GCD(824, 932) = ( 824 x 932 ) / 191992
GCD(824, 932) = 767968 / 191992
GCD(824, 932) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 76) = 76
GCD(4, 76) = ( 4 x 76 ) / 76
GCD(4, 76) = 304 / 76
GCD(4, 76) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 393
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 393) = 1572
GCD(4, 393) = ( 4 x 393 ) / 1572
GCD(4, 393) = 1572 / 1572
GCD(4, 393) = 1
GCD of 824, 932, 76, 393 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 824, 932, 76, 393?
GCD of 824, 932, 76, 393 is 1
2. Where do I get the detailed procedure to find GCD of 824, 932, 76, 393?
You can find a detailed procedure to find GCD of 824, 932, 76, 393 on our page.
3. How to find GCD of 824, 932, 76, 393 on a calculator?
You can find the GCD of 824, 932, 76, 393 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.