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, 438, 726, 513 i.e. 1 largest integer that divides all the numbers equally.
GCD of 305, 438, 726, 513 is 1
GCD(305, 438, 726, 513) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 305, 438, 726, 513 is 1
GCD(305, 438, 726, 513) = 1
Given Input numbers are 305, 438, 726, 513
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 438
List of positive integer divisors of 438 that divides 438 without a remainder.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 726
List of positive integer divisors of 726 that divides 726 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Divisors of 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
Greatest Common Divisior
We found the divisors of 305, 438, 726, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 438, 726, 513 is 1.
Therefore, GCD of numbers 305, 438, 726, 513 is 1
Given Input Data is 305, 438, 726, 513
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 305 is 5 x 61
Prime Factorization of 438 is 2 x 3 x 73
Prime Factorization of 726 is 2 x 3 x 11 x 11
Prime Factorization of 513 is 3 x 3 x 3 x 19
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(305, 438) = 133590
GCD(305, 438) = ( 305 x 438 ) / 133590
GCD(305, 438) = 133590 / 133590
GCD(305, 438) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 726
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 726) = 726
GCD(1, 726) = ( 1 x 726 ) / 726
GCD(1, 726) = 726 / 726
GCD(1, 726) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 513
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 513) = 513
GCD(1, 513) = ( 1 x 513 ) / 513
GCD(1, 513) = 513 / 513
GCD(1, 513) = 1
GCD of 305, 438, 726, 513 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 305, 438, 726, 513?
GCD of 305, 438, 726, 513 is 1
2. Where do I get the detailed procedure to find GCD of 305, 438, 726, 513?
You can find a detailed procedure to find GCD of 305, 438, 726, 513 on our page.
3. How to find GCD of 305, 438, 726, 513 on a calculator?
You can find the GCD of 305, 438, 726, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.