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 827, 971, 383, 792 i.e. 1 largest integer that divides all the numbers equally.
GCD of 827, 971, 383, 792 is 1
GCD(827, 971, 383, 792) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 827, 971, 383, 792 is 1
GCD(827, 971, 383, 792) = 1
Given Input numbers are 827, 971, 383, 792
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 827
List of positive integer divisors of 827 that divides 827 without a remainder.
1, 827
Divisors of 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
Divisors of 383
List of positive integer divisors of 383 that divides 383 without a remainder.
1, 383
Divisors of 792
List of positive integer divisors of 792 that divides 792 without a remainder.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Greatest Common Divisior
We found the divisors of 827, 971, 383, 792 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 827, 971, 383, 792 is 1.
Therefore, GCD of numbers 827, 971, 383, 792 is 1
Given Input Data is 827, 971, 383, 792
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 827 is 827
Prime Factorization of 971 is 971
Prime Factorization of 383 is 383
Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11
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(827, 971) = 803017
GCD(827, 971) = ( 827 x 971 ) / 803017
GCD(827, 971) = 803017 / 803017
GCD(827, 971) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 383
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 383) = 383
GCD(1, 383) = ( 1 x 383 ) / 383
GCD(1, 383) = 383 / 383
GCD(1, 383) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 792
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 792) = 792
GCD(1, 792) = ( 1 x 792 ) / 792
GCD(1, 792) = 792 / 792
GCD(1, 792) = 1
GCD of 827, 971, 383, 792 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 827, 971, 383, 792?
GCD of 827, 971, 383, 792 is 1
2. Where do I get the detailed procedure to find GCD of 827, 971, 383, 792?
You can find a detailed procedure to find GCD of 827, 971, 383, 792 on our page.
3. How to find GCD of 827, 971, 383, 792 on a calculator?
You can find the GCD of 827, 971, 383, 792 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.