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, 255, 997, 384 i.e. 1 largest integer that divides all the numbers equally.
GCD of 37, 255, 997, 384 is 1
GCD(37, 255, 997, 384) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 37, 255, 997, 384 is 1
GCD(37, 255, 997, 384) = 1
Given Input numbers are 37, 255, 997, 384
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 255
List of positive integer divisors of 255 that divides 255 without a remainder.
1, 3, 5, 15, 17, 51, 85, 255
Divisors of 997
List of positive integer divisors of 997 that divides 997 without a remainder.
1, 997
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
Greatest Common Divisior
We found the divisors of 37, 255, 997, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 255, 997, 384 is 1.
Therefore, GCD of numbers 37, 255, 997, 384 is 1
Given Input Data is 37, 255, 997, 384
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 37 is 37
Prime Factorization of 255 is 3 x 5 x 17
Prime Factorization of 997 is 997
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
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, 255) = 9435
GCD(37, 255) = ( 37 x 255 ) / 9435
GCD(37, 255) = 9435 / 9435
GCD(37, 255) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 997
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 997) = 997
GCD(1, 997) = ( 1 x 997 ) / 997
GCD(1, 997) = 997 / 997
GCD(1, 997) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 384
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 384) = 384
GCD(1, 384) = ( 1 x 384 ) / 384
GCD(1, 384) = 384 / 384
GCD(1, 384) = 1
GCD of 37, 255, 997, 384 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 37, 255, 997, 384?
GCD of 37, 255, 997, 384 is 1
2. Where do I get the detailed procedure to find GCD of 37, 255, 997, 384?
You can find a detailed procedure to find GCD of 37, 255, 997, 384 on our page.
3. How to find GCD of 37, 255, 997, 384 on a calculator?
You can find the GCD of 37, 255, 997, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.