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 112, 409, 338, 828 i.e. 1 largest integer that divides all the numbers equally.
GCD of 112, 409, 338, 828 is 1
GCD(112, 409, 338, 828) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 112, 409, 338, 828 is 1
GCD(112, 409, 338, 828) = 1
Given Input numbers are 112, 409, 338, 828
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 112
List of positive integer divisors of 112 that divides 112 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 409
List of positive integer divisors of 409 that divides 409 without a remainder.
1, 409
Divisors of 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
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
Greatest Common Divisior
We found the divisors of 112, 409, 338, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 409, 338, 828 is 1.
Therefore, GCD of numbers 112, 409, 338, 828 is 1
Given Input Data is 112, 409, 338, 828
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
Prime Factorization of 409 is 409
Prime Factorization of 338 is 2 x 13 x 13
Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23
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(112, 409) = 45808
GCD(112, 409) = ( 112 x 409 ) / 45808
GCD(112, 409) = 45808 / 45808
GCD(112, 409) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 338
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 338) = 338
GCD(1, 338) = ( 1 x 338 ) / 338
GCD(1, 338) = 338 / 338
GCD(1, 338) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 828
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 828) = 828
GCD(1, 828) = ( 1 x 828 ) / 828
GCD(1, 828) = 828 / 828
GCD(1, 828) = 1
GCD of 112, 409, 338, 828 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 112, 409, 338, 828?
GCD of 112, 409, 338, 828 is 1
2. Where do I get the detailed procedure to find GCD of 112, 409, 338, 828?
You can find a detailed procedure to find GCD of 112, 409, 338, 828 on our page.
3. How to find GCD of 112, 409, 338, 828 on a calculator?
You can find the GCD of 112, 409, 338, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.