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 37, 392, 324, 596 i.e. 1 largest integer that divides all the numbers equally.
GCD of 37, 392, 324, 596 is 1
GCD(37, 392, 324, 596) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 37, 392, 324, 596 is 1
GCD(37, 392, 324, 596) = 1
Given Input numbers are 37, 392, 324, 596
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
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 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 596
List of positive integer divisors of 596 that divides 596 without a remainder.
1, 2, 4, 149, 298, 596
Greatest Common Divisior
We found the divisors of 37, 392, 324, 596 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 392, 324, 596 is 1.
Therefore, GCD of numbers 37, 392, 324, 596 is 1
Given Input Data is 37, 392, 324, 596
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 37 is 37
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 596 is 2 x 2 x 149
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(37, 392) = 14504
GCD(37, 392) = ( 37 x 392 ) / 14504
GCD(37, 392) = 14504 / 14504
GCD(37, 392) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 324
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 324) = 324
GCD(1, 324) = ( 1 x 324 ) / 324
GCD(1, 324) = 324 / 324
GCD(1, 324) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 596
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 596) = 596
GCD(1, 596) = ( 1 x 596 ) / 596
GCD(1, 596) = 596 / 596
GCD(1, 596) = 1
GCD of 37, 392, 324, 596 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 37, 392, 324, 596?
GCD of 37, 392, 324, 596 is 1
2. Where do I get the detailed procedure to find GCD of 37, 392, 324, 596?
You can find a detailed procedure to find GCD of 37, 392, 324, 596 on our page.
3. How to find GCD of 37, 392, 324, 596 on a calculator?
You can find the GCD of 37, 392, 324, 596 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.