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, 344, 40, 300 i.e. 4 largest integer that divides all the numbers equally.
GCD of 392, 344, 40, 300 is 4
GCD(392, 344, 40, 300) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 392, 344, 40, 300 is 4
GCD(392, 344, 40, 300) = 4
Given Input numbers are 392, 344, 40, 300
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 344
List of positive integer divisors of 344 that divides 344 without a remainder.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Greatest Common Divisior
We found the divisors of 392, 344, 40, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 344, 40, 300 is 4.
Therefore, GCD of numbers 392, 344, 40, 300 is 4
Given Input Data is 392, 344, 40, 300
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 344 is 2 x 2 x 2 x 43
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
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, 344) = 16856
GCD(392, 344) = ( 392 x 344 ) / 16856
GCD(392, 344) = 134848 / 16856
GCD(392, 344) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 40) = 40
GCD(8, 40) = ( 8 x 40 ) / 40
GCD(8, 40) = 320 / 40
GCD(8, 40) = 8
Step3:
Here we consider the GCD from the above i.e. 8 as first number and the next as 300
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 300) = 600
GCD(8, 300) = ( 8 x 300 ) / 600
GCD(8, 300) = 2400 / 600
GCD(8, 300) = 4
GCD of 392, 344, 40, 300 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 392, 344, 40, 300?
GCD of 392, 344, 40, 300 is 4
2. Where do I get the detailed procedure to find GCD of 392, 344, 40, 300?
You can find a detailed procedure to find GCD of 392, 344, 40, 300 on our page.
3. How to find GCD of 392, 344, 40, 300 on a calculator?
You can find the GCD of 392, 344, 40, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.