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 904, 512, 976, 827 i.e. 1 largest integer that divides all the numbers equally.
GCD of 904, 512, 976, 827 is 1
GCD(904, 512, 976, 827) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 904, 512, 976, 827 is 1
GCD(904, 512, 976, 827) = 1
Given Input numbers are 904, 512, 976, 827
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 904
List of positive integer divisors of 904 that divides 904 without a remainder.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 512
List of positive integer divisors of 512 that divides 512 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Divisors of 976
List of positive integer divisors of 976 that divides 976 without a remainder.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 827
List of positive integer divisors of 827 that divides 827 without a remainder.
1, 827
Greatest Common Divisior
We found the divisors of 904, 512, 976, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 904, 512, 976, 827 is 1.
Therefore, GCD of numbers 904, 512, 976, 827 is 1
Given Input Data is 904, 512, 976, 827
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 904 is 2 x 2 x 2 x 113
Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61
Prime Factorization of 827 is 827
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(904, 512) = 57856
GCD(904, 512) = ( 904 x 512 ) / 57856
GCD(904, 512) = 462848 / 57856
GCD(904, 512) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 976
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 976) = 976
GCD(8, 976) = ( 8 x 976 ) / 976
GCD(8, 976) = 7808 / 976
GCD(8, 976) = 8
Step3:
Here we consider the GCD from the above i.e. 8 as first number and the next as 827
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 827) = 6616
GCD(8, 827) = ( 8 x 827 ) / 6616
GCD(8, 827) = 6616 / 6616
GCD(8, 827) = 1
GCD of 904, 512, 976, 827 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 904, 512, 976, 827?
GCD of 904, 512, 976, 827 is 1
2. Where do I get the detailed procedure to find GCD of 904, 512, 976, 827?
You can find a detailed procedure to find GCD of 904, 512, 976, 827 on our page.
3. How to find GCD of 904, 512, 976, 827 on a calculator?
You can find the GCD of 904, 512, 976, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.