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 372, 403, 824, 336 i.e. 1 largest integer that divides all the numbers equally.
GCD of 372, 403, 824, 336 is 1
GCD(372, 403, 824, 336) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 372, 403, 824, 336 is 1
GCD(372, 403, 824, 336) = 1
Given Input numbers are 372, 403, 824, 336
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 403
List of positive integer divisors of 403 that divides 403 without a remainder.
1, 13, 31, 403
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Greatest Common Divisior
We found the divisors of 372, 403, 824, 336 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 403, 824, 336 is 1.
Therefore, GCD of numbers 372, 403, 824, 336 is 1
Given Input Data is 372, 403, 824, 336
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 372 is 2 x 2 x 3 x 31
Prime Factorization of 403 is 13 x 31
Prime Factorization of 824 is 2 x 2 x 2 x 103
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
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(372, 403) = 4836
GCD(372, 403) = ( 372 x 403 ) / 4836
GCD(372, 403) = 149916 / 4836
GCD(372, 403) = 31
Step2:
Here we consider the GCD from the above i.e. 31 as first number and the next as 824
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(31, 824) = 25544
GCD(31, 824) = ( 31 x 824 ) / 25544
GCD(31, 824) = 25544 / 25544
GCD(31, 824) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 336
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 336) = 336
GCD(1, 336) = ( 1 x 336 ) / 336
GCD(1, 336) = 336 / 336
GCD(1, 336) = 1
GCD of 372, 403, 824, 336 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 372, 403, 824, 336?
GCD of 372, 403, 824, 336 is 1
2. Where do I get the detailed procedure to find GCD of 372, 403, 824, 336?
You can find a detailed procedure to find GCD of 372, 403, 824, 336 on our page.
3. How to find GCD of 372, 403, 824, 336 on a calculator?
You can find the GCD of 372, 403, 824, 336 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.