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 828, 904, 632, 581 i.e. 1 largest integer that divides all the numbers equally.
GCD of 828, 904, 632, 581 is 1
GCD(828, 904, 632, 581) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 828, 904, 632, 581 is 1
GCD(828, 904, 632, 581) = 1
Given Input numbers are 828, 904, 632, 581
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 828
List of positive integer divisors of 828 that divides 828 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
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 632
List of positive integer divisors of 632 that divides 632 without a remainder.
1, 2, 4, 8, 79, 158, 316, 632
Divisors of 581
List of positive integer divisors of 581 that divides 581 without a remainder.
1, 7, 83, 581
Greatest Common Divisior
We found the divisors of 828, 904, 632, 581 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 904, 632, 581 is 1.
Therefore, GCD of numbers 828, 904, 632, 581 is 1
Given Input Data is 828, 904, 632, 581
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23
Prime Factorization of 904 is 2 x 2 x 2 x 113
Prime Factorization of 632 is 2 x 2 x 2 x 79
Prime Factorization of 581 is 7 x 83
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(828, 904) = 187128
GCD(828, 904) = ( 828 x 904 ) / 187128
GCD(828, 904) = 748512 / 187128
GCD(828, 904) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 632
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 632) = 632
GCD(4, 632) = ( 4 x 632 ) / 632
GCD(4, 632) = 2528 / 632
GCD(4, 632) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 581
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 581) = 2324
GCD(4, 581) = ( 4 x 581 ) / 2324
GCD(4, 581) = 2324 / 2324
GCD(4, 581) = 1
GCD of 828, 904, 632, 581 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 828, 904, 632, 581?
GCD of 828, 904, 632, 581 is 1
2. Where do I get the detailed procedure to find GCD of 828, 904, 632, 581?
You can find a detailed procedure to find GCD of 828, 904, 632, 581 on our page.
3. How to find GCD of 828, 904, 632, 581 on a calculator?
You can find the GCD of 828, 904, 632, 581 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.