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 131, 384, 37, 728 i.e. 1 largest integer that divides all the numbers equally.
GCD of 131, 384, 37, 728 is 1
GCD(131, 384, 37, 728) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 131, 384, 37, 728 is 1
GCD(131, 384, 37, 728) = 1
Given Input numbers are 131, 384, 37, 728
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
Divisors of 728
List of positive integer divisors of 728 that divides 728 without a remainder.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Greatest Common Divisior
We found the divisors of 131, 384, 37, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 131, 384, 37, 728 is 1.
Therefore, GCD of numbers 131, 384, 37, 728 is 1
Given Input Data is 131, 384, 37, 728
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 131 is 131
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 37 is 37
Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13
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(131, 384) = 50304
GCD(131, 384) = ( 131 x 384 ) / 50304
GCD(131, 384) = 50304 / 50304
GCD(131, 384) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 37
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 37) = 37
GCD(1, 37) = ( 1 x 37 ) / 37
GCD(1, 37) = 37 / 37
GCD(1, 37) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 728
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 728) = 728
GCD(1, 728) = ( 1 x 728 ) / 728
GCD(1, 728) = 728 / 728
GCD(1, 728) = 1
GCD of 131, 384, 37, 728 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 131, 384, 37, 728?
GCD of 131, 384, 37, 728 is 1
2. Where do I get the detailed procedure to find GCD of 131, 384, 37, 728?
You can find a detailed procedure to find GCD of 131, 384, 37, 728 on our page.
3. How to find GCD of 131, 384, 37, 728 on a calculator?
You can find the GCD of 131, 384, 37, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.