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, 887, 782, 923 i.e. 1 largest integer that divides all the numbers equally.
GCD of 828, 887, 782, 923 is 1
GCD(828, 887, 782, 923) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 828, 887, 782, 923 is 1
GCD(828, 887, 782, 923) = 1
Given Input numbers are 828, 887, 782, 923
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 887
List of positive integer divisors of 887 that divides 887 without a remainder.
1, 887
Divisors of 782
List of positive integer divisors of 782 that divides 782 without a remainder.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 923
List of positive integer divisors of 923 that divides 923 without a remainder.
1, 13, 71, 923
Greatest Common Divisior
We found the divisors of 828, 887, 782, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 887, 782, 923 is 1.
Therefore, GCD of numbers 828, 887, 782, 923 is 1
Given Input Data is 828, 887, 782, 923
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 887 is 887
Prime Factorization of 782 is 2 x 17 x 23
Prime Factorization of 923 is 13 x 71
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, 887) = 734436
GCD(828, 887) = ( 828 x 887 ) / 734436
GCD(828, 887) = 734436 / 734436
GCD(828, 887) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 782
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 782) = 782
GCD(1, 782) = ( 1 x 782 ) / 782
GCD(1, 782) = 782 / 782
GCD(1, 782) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 923
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 923) = 923
GCD(1, 923) = ( 1 x 923 ) / 923
GCD(1, 923) = 923 / 923
GCD(1, 923) = 1
GCD of 828, 887, 782, 923 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 828, 887, 782, 923?
GCD of 828, 887, 782, 923 is 1
2. Where do I get the detailed procedure to find GCD of 828, 887, 782, 923?
You can find a detailed procedure to find GCD of 828, 887, 782, 923 on our page.
3. How to find GCD of 828, 887, 782, 923 on a calculator?
You can find the GCD of 828, 887, 782, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.