GCD of 305, 438, 726, 513 Calculator

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.

• GCD of 713, 284, 880, 674
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• GCD of 270, 547, 802, 180

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.