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 115, 824, 87, 392 i.e. 1 largest integer that divides all the numbers equally.
GCD of 115, 824, 87, 392 is 1
GCD(115, 824, 87, 392) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 115, 824, 87, 392 is 1
GCD(115, 824, 87, 392) = 1
Given Input numbers are 115, 824, 87, 392
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 115
List of positive integer divisors of 115 that divides 115 without a remainder.
1, 5, 23, 115
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 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Greatest Common Divisior
We found the divisors of 115, 824, 87, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 115, 824, 87, 392 is 1.
Therefore, GCD of numbers 115, 824, 87, 392 is 1
Given Input Data is 115, 824, 87, 392
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 115 is 5 x 23
Prime Factorization of 824 is 2 x 2 x 2 x 103
Prime Factorization of 87 is 3 x 29
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
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(115, 824) = 94760
GCD(115, 824) = ( 115 x 824 ) / 94760
GCD(115, 824) = 94760 / 94760
GCD(115, 824) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 87) = 87
GCD(1, 87) = ( 1 x 87 ) / 87
GCD(1, 87) = 87 / 87
GCD(1, 87) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 392
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 392) = 392
GCD(1, 392) = ( 1 x 392 ) / 392
GCD(1, 392) = 392 / 392
GCD(1, 392) = 1
GCD of 115, 824, 87, 392 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 115, 824, 87, 392?
GCD of 115, 824, 87, 392 is 1
2. Where do I get the detailed procedure to find GCD of 115, 824, 87, 392?
You can find a detailed procedure to find GCD of 115, 824, 87, 392 on our page.
3. How to find GCD of 115, 824, 87, 392 on a calculator?
You can find the GCD of 115, 824, 87, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.