GCD of 513, 569, 458, 438 Calculator

Given Input numbers are 513, 569, 458, 438

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 569

List of positive integer divisors of 569 that divides 569 without a remainder.

1, 569

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Greatest Common Divisior

We found the divisors of 513, 569, 458, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 569, 458, 438 is 1.

Therefore, GCD of numbers 513, 569, 458, 438 is 1

Given Input Data is 513, 569, 458, 438

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 513 is 3 x 3 x 3 x 19

Prime Factorization of 569 is 569

Prime Factorization of 458 is 2 x 229

Prime Factorization of 438 is 2 x 3 x 73

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(513, 569) = 291897

GCD(513, 569) = ( 513 x 569 ) / 291897

GCD(513, 569) = 291897 / 291897

GCD(513, 569) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 458

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

GCD(1, 458) = 458 / 458

GCD(1, 458) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 438

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

GCD(1, 438) = 438 / 438

GCD(1, 438) = 1

GCD of 513, 569, 458, 438 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 749, 222, 180, 631
• GCD of 725, 862, 190, 710
• GCD of 337, 909, 293, 684
• GCD of 463, 395, 788, 338
• GCD of 642, 362, 749, 621

1. What is the GCD of 513, 569, 458, 438?

GCD of 513, 569, 458, 438 is 1

2. Where do I get the detailed procedure to find GCD of 513, 569, 458, 438?

You can find a detailed procedure to find GCD of 513, 569, 458, 438 on our page.

3. How to find GCD of 513, 569, 458, 438 on a calculator?

You can find the GCD of 513, 569, 458, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.