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 306, 756, 313, 430 i.e. 1 largest integer that divides all the numbers equally.
GCD of 306, 756, 313, 430 is 1
GCD(306, 756, 313, 430) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 306, 756, 313, 430 is 1
GCD(306, 756, 313, 430) = 1
Given Input numbers are 306, 756, 313, 430
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 306
List of positive integer divisors of 306 that divides 306 without a remainder.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Divisors of 756
List of positive integer divisors of 756 that divides 756 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 313
List of positive integer divisors of 313 that divides 313 without a remainder.
1, 313
Divisors of 430
List of positive integer divisors of 430 that divides 430 without a remainder.
1, 2, 5, 10, 43, 86, 215, 430
Greatest Common Divisior
We found the divisors of 306, 756, 313, 430 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 756, 313, 430 is 1.
Therefore, GCD of numbers 306, 756, 313, 430 is 1
Given Input Data is 306, 756, 313, 430
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 306 is 2 x 3 x 3 x 17
Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7
Prime Factorization of 313 is 313
Prime Factorization of 430 is 2 x 5 x 43
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(306, 756) = 12852
GCD(306, 756) = ( 306 x 756 ) / 12852
GCD(306, 756) = 231336 / 12852
GCD(306, 756) = 18
Step2:
Here we consider the GCD from the above i.e. 18 as first number and the next as 313
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(18, 313) = 5634
GCD(18, 313) = ( 18 x 313 ) / 5634
GCD(18, 313) = 5634 / 5634
GCD(18, 313) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 430
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 430) = 430
GCD(1, 430) = ( 1 x 430 ) / 430
GCD(1, 430) = 430 / 430
GCD(1, 430) = 1
GCD of 306, 756, 313, 430 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 306, 756, 313, 430?
GCD of 306, 756, 313, 430 is 1
2. Where do I get the detailed procedure to find GCD of 306, 756, 313, 430?
You can find a detailed procedure to find GCD of 306, 756, 313, 430 on our page.
3. How to find GCD of 306, 756, 313, 430 on a calculator?
You can find the GCD of 306, 756, 313, 430 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.