GCD of 305, 380, 792 Calculator
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 305, 380, 792 i.e. 1 largest integer that divides all the numbers equally.
GCD of 305, 380, 792 is 1
GCD(305, 380, 792) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 305, 380, 792 is 1
GCD(305, 380, 792) = 1
GCDof 305,380,792 is 1
Given Input numbers are 305, 380, 792
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 305
List of positive integer divisors of 305 that divides 305 without a remainder.
1, 5, 61, 305
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 792
List of positive integer divisors of 792 that divides 792 without a remainder.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Greatest Common Divisior
We found the divisors of 305, 380, 792 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 380, 792 is 1.
Therefore, GCD of numbers 305, 380, 792 is 1
Given Input Data is 305, 380, 792
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 305 is 5 x 61
Prime Factorization of 380 is 2 x 2 x 5 x 19
Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 305, 380, 792 using LCM Formula
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(305, 380) = 23180
GCD(305, 380) = ( 305 x 380 ) / 23180
GCD(305, 380) = 115900 / 23180
GCD(305, 380) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 792
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 792) = 3960
GCD(5, 792) = ( 5 x 792 ) / 3960
GCD(5, 792) = 3960 / 3960
GCD(5, 792) = 1
GCD of 305, 380, 792 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 305, 380, 792
1. What is the GCD of 305, 380, 792?
GCD of 305, 380, 792 is 1
2. Where do I get the detailed procedure to find GCD of 305, 380, 792?
You can find a detailed procedure to find GCD of 305, 380, 792 on our page.
3. How to find GCD of 305, 380, 792 on a calculator?
You can find the GCD of 305, 380, 792 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
