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 261, 793, 38, 365 i.e. 1 largest integer that divides all the numbers equally.
GCD of 261, 793, 38, 365 is 1
GCD(261, 793, 38, 365) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 261, 793, 38, 365 is 1
GCD(261, 793, 38, 365) = 1
Given Input numbers are 261, 793, 38, 365
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 261
List of positive integer divisors of 261 that divides 261 without a remainder.
1, 3, 9, 29, 87, 261
Divisors of 793
List of positive integer divisors of 793 that divides 793 without a remainder.
1, 13, 61, 793
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 365
List of positive integer divisors of 365 that divides 365 without a remainder.
1, 5, 73, 365
Greatest Common Divisior
We found the divisors of 261, 793, 38, 365 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 793, 38, 365 is 1.
Therefore, GCD of numbers 261, 793, 38, 365 is 1
Given Input Data is 261, 793, 38, 365
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 261 is 3 x 3 x 29
Prime Factorization of 793 is 13 x 61
Prime Factorization of 38 is 2 x 19
Prime Factorization of 365 is 5 x 73
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(261, 793) = 206973
GCD(261, 793) = ( 261 x 793 ) / 206973
GCD(261, 793) = 206973 / 206973
GCD(261, 793) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 38) = 38
GCD(1, 38) = ( 1 x 38 ) / 38
GCD(1, 38) = 38 / 38
GCD(1, 38) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 365
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 365) = 365
GCD(1, 365) = ( 1 x 365 ) / 365
GCD(1, 365) = 365 / 365
GCD(1, 365) = 1
GCD of 261, 793, 38, 365 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 261, 793, 38, 365?
GCD of 261, 793, 38, 365 is 1
2. Where do I get the detailed procedure to find GCD of 261, 793, 38, 365?
You can find a detailed procedure to find GCD of 261, 793, 38, 365 on our page.
3. How to find GCD of 261, 793, 38, 365 on a calculator?
You can find the GCD of 261, 793, 38, 365 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.