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 309, 367, 786, 242 i.e. 1 largest integer that divides all the numbers equally.
GCD of 309, 367, 786, 242 is 1
GCD(309, 367, 786, 242) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 309, 367, 786, 242 is 1
GCD(309, 367, 786, 242) = 1
Given Input numbers are 309, 367, 786, 242
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Divisors of 367
List of positive integer divisors of 367 that divides 367 without a remainder.
1, 367
Divisors of 786
List of positive integer divisors of 786 that divides 786 without a remainder.
1, 2, 3, 6, 131, 262, 393, 786
Divisors of 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
Greatest Common Divisior
We found the divisors of 309, 367, 786, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 367, 786, 242 is 1.
Therefore, GCD of numbers 309, 367, 786, 242 is 1
Given Input Data is 309, 367, 786, 242
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 309 is 3 x 103
Prime Factorization of 367 is 367
Prime Factorization of 786 is 2 x 3 x 131
Prime Factorization of 242 is 2 x 11 x 11
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(309, 367) = 113403
GCD(309, 367) = ( 309 x 367 ) / 113403
GCD(309, 367) = 113403 / 113403
GCD(309, 367) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 786
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 786) = 786
GCD(1, 786) = ( 1 x 786 ) / 786
GCD(1, 786) = 786 / 786
GCD(1, 786) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 242
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 242) = 242
GCD(1, 242) = ( 1 x 242 ) / 242
GCD(1, 242) = 242 / 242
GCD(1, 242) = 1
GCD of 309, 367, 786, 242 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 309, 367, 786, 242?
GCD of 309, 367, 786, 242 is 1
2. Where do I get the detailed procedure to find GCD of 309, 367, 786, 242?
You can find a detailed procedure to find GCD of 309, 367, 786, 242 on our page.
3. How to find GCD of 309, 367, 786, 242 on a calculator?
You can find the GCD of 309, 367, 786, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.