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 392, 868, 72, 811 i.e. 1 largest integer that divides all the numbers equally.
GCD of 392, 868, 72, 811 is 1
GCD(392, 868, 72, 811) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 392, 868, 72, 811 is 1
GCD(392, 868, 72, 811) = 1
Given Input numbers are 392, 868, 72, 811
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 868
List of positive integer divisors of 868 that divides 868 without a remainder.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 811
List of positive integer divisors of 811 that divides 811 without a remainder.
1, 811
Greatest Common Divisior
We found the divisors of 392, 868, 72, 811 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 868, 72, 811 is 1.
Therefore, GCD of numbers 392, 868, 72, 811 is 1
Given Input Data is 392, 868, 72, 811
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
Prime Factorization of 868 is 2 x 2 x 7 x 31
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 811 is 811
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(392, 868) = 12152
GCD(392, 868) = ( 392 x 868 ) / 12152
GCD(392, 868) = 340256 / 12152
GCD(392, 868) = 28
Step2:
Here we consider the GCD from the above i.e. 28 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(28, 72) = 504
GCD(28, 72) = ( 28 x 72 ) / 504
GCD(28, 72) = 2016 / 504
GCD(28, 72) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 811
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 811) = 3244
GCD(4, 811) = ( 4 x 811 ) / 3244
GCD(4, 811) = 3244 / 3244
GCD(4, 811) = 1
GCD of 392, 868, 72, 811 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 392, 868, 72, 811?
GCD of 392, 868, 72, 811 is 1
2. Where do I get the detailed procedure to find GCD of 392, 868, 72, 811?
You can find a detailed procedure to find GCD of 392, 868, 72, 811 on our page.
3. How to find GCD of 392, 868, 72, 811 on a calculator?
You can find the GCD of 392, 868, 72, 811 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.