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 365, 132, 22, 794 i.e. 1 largest integer that divides all the numbers equally.
GCD of 365, 132, 22, 794 is 1
GCD(365, 132, 22, 794) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 365, 132, 22, 794 is 1
GCD(365, 132, 22, 794) = 1
Given Input numbers are 365, 132, 22, 794
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 365
List of positive integer divisors of 365 that divides 365 without a remainder.
1, 5, 73, 365
Divisors of 132
List of positive integer divisors of 132 that divides 132 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 22
List of positive integer divisors of 22 that divides 22 without a remainder.
1, 2, 11, 22
Divisors of 794
List of positive integer divisors of 794 that divides 794 without a remainder.
1, 2, 397, 794
Greatest Common Divisior
We found the divisors of 365, 132, 22, 794 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 365, 132, 22, 794 is 1.
Therefore, GCD of numbers 365, 132, 22, 794 is 1
Given Input Data is 365, 132, 22, 794
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 365 is 5 x 73
Prime Factorization of 132 is 2 x 2 x 3 x 11
Prime Factorization of 22 is 2 x 11
Prime Factorization of 794 is 2 x 397
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(365, 132) = 48180
GCD(365, 132) = ( 365 x 132 ) / 48180
GCD(365, 132) = 48180 / 48180
GCD(365, 132) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 22
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 22) = 22
GCD(1, 22) = ( 1 x 22 ) / 22
GCD(1, 22) = 22 / 22
GCD(1, 22) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 794
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 794) = 794
GCD(1, 794) = ( 1 x 794 ) / 794
GCD(1, 794) = 794 / 794
GCD(1, 794) = 1
GCD of 365, 132, 22, 794 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 365, 132, 22, 794?
GCD of 365, 132, 22, 794 is 1
2. Where do I get the detailed procedure to find GCD of 365, 132, 22, 794?
You can find a detailed procedure to find GCD of 365, 132, 22, 794 on our page.
3. How to find GCD of 365, 132, 22, 794 on a calculator?
You can find the GCD of 365, 132, 22, 794 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.