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, 556, 128, 955 i.e. 1 largest integer that divides all the numbers equally.
GCD of 828, 556, 128, 955 is 1
GCD(828, 556, 128, 955) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 828, 556, 128, 955 is 1
GCD(828, 556, 128, 955) = 1
Given Input numbers are 828, 556, 128, 955
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 556
List of positive integer divisors of 556 that divides 556 without a remainder.
1, 2, 4, 139, 278, 556
Divisors of 128
List of positive integer divisors of 128 that divides 128 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 955
List of positive integer divisors of 955 that divides 955 without a remainder.
1, 5, 191, 955
Greatest Common Divisior
We found the divisors of 828, 556, 128, 955 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 556, 128, 955 is 1.
Therefore, GCD of numbers 828, 556, 128, 955 is 1
Given Input Data is 828, 556, 128, 955
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 556 is 2 x 2 x 139
Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 955 is 5 x 191
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, 556) = 115092
GCD(828, 556) = ( 828 x 556 ) / 115092
GCD(828, 556) = 460368 / 115092
GCD(828, 556) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 128
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 128) = 128
GCD(4, 128) = ( 4 x 128 ) / 128
GCD(4, 128) = 512 / 128
GCD(4, 128) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 955
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 955) = 3820
GCD(4, 955) = ( 4 x 955 ) / 3820
GCD(4, 955) = 3820 / 3820
GCD(4, 955) = 1
GCD of 828, 556, 128, 955 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 828, 556, 128, 955?
GCD of 828, 556, 128, 955 is 1
2. Where do I get the detailed procedure to find GCD of 828, 556, 128, 955?
You can find a detailed procedure to find GCD of 828, 556, 128, 955 on our page.
3. How to find GCD of 828, 556, 128, 955 on a calculator?
You can find the GCD of 828, 556, 128, 955 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.