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 312, 335, 11, 309 i.e. 1 largest integer that divides all the numbers equally.
GCD of 312, 335, 11, 309 is 1
GCD(312, 335, 11, 309) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 312, 335, 11, 309 is 1
GCD(312, 335, 11, 309) = 1
Given Input numbers are 312, 335, 11, 309
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Greatest Common Divisior
We found the divisors of 312, 335, 11, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 335, 11, 309 is 1.
Therefore, GCD of numbers 312, 335, 11, 309 is 1
Given Input Data is 312, 335, 11, 309
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
Prime Factorization of 335 is 5 x 67
Prime Factorization of 11 is 11
Prime Factorization of 309 is 3 x 103
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(312, 335) = 104520
GCD(312, 335) = ( 312 x 335 ) / 104520
GCD(312, 335) = 104520 / 104520
GCD(312, 335) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 11) = 11
GCD(1, 11) = ( 1 x 11 ) / 11
GCD(1, 11) = 11 / 11
GCD(1, 11) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 309
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 309) = 309
GCD(1, 309) = ( 1 x 309 ) / 309
GCD(1, 309) = 309 / 309
GCD(1, 309) = 1
GCD of 312, 335, 11, 309 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 312, 335, 11, 309?
GCD of 312, 335, 11, 309 is 1
2. Where do I get the detailed procedure to find GCD of 312, 335, 11, 309?
You can find a detailed procedure to find GCD of 312, 335, 11, 309 on our page.
3. How to find GCD of 312, 335, 11, 309 on a calculator?
You can find the GCD of 312, 335, 11, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.