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 392, 844, 744, 112 i.e. 4 largest integer that divides all the numbers equally.
GCD of 392, 844, 744, 112 is 4
GCD(392, 844, 744, 112) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 392, 844, 744, 112 is 4
GCD(392, 844, 744, 112) = 4
Given Input numbers are 392, 844, 744, 112
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 844
List of positive integer divisors of 844 that divides 844 without a remainder.
1, 2, 4, 211, 422, 844
Divisors of 744
List of positive integer divisors of 744 that divides 744 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
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
Greatest Common Divisior
We found the divisors of 392, 844, 744, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 844, 744, 112 is 4.
Therefore, GCD of numbers 392, 844, 744, 112 is 4
Given Input Data is 392, 844, 744, 112
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
Prime Factorization of 844 is 2 x 2 x 211
Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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(392, 844) = 82712
GCD(392, 844) = ( 392 x 844 ) / 82712
GCD(392, 844) = 330848 / 82712
GCD(392, 844) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 744
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 744) = 744
GCD(4, 744) = ( 4 x 744 ) / 744
GCD(4, 744) = 2976 / 744
GCD(4, 744) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 112
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 112) = 112
GCD(4, 112) = ( 4 x 112 ) / 112
GCD(4, 112) = 448 / 112
GCD(4, 112) = 4
GCD of 392, 844, 744, 112 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 392, 844, 744, 112?
GCD of 392, 844, 744, 112 is 4
2. Where do I get the detailed procedure to find GCD of 392, 844, 744, 112?
You can find a detailed procedure to find GCD of 392, 844, 744, 112 on our page.
3. How to find GCD of 392, 844, 744, 112 on a calculator?
You can find the GCD of 392, 844, 744, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.