GCD of 512, 748, 95, 571 Calculator

Given Input numbers are 512, 748, 95, 571

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

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 571

List of positive integer divisors of 571 that divides 571 without a remainder.

1, 571

Greatest Common Divisior

We found the divisors of 512, 748, 95, 571 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 748, 95, 571 is 1.

Therefore, GCD of numbers 512, 748, 95, 571 is 1

Given Input Data is 512, 748, 95, 571

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

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 95 is 5 x 19

Prime Factorization of 571 is 571

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(512, 748) = 95744

GCD(512, 748) = ( 512 x 748 ) / 95744

GCD(512, 748) = 382976 / 95744

GCD(512, 748) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 95

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

LCM(4, 95) = 380

GCD(4, 95) = ( 4 x 95 ) / 380

GCD(4, 95) = 380 / 380

GCD(4, 95) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 571

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

LCM(1, 571) = 571

GCD(1, 571) = ( 1 x 571 ) / 571

GCD(1, 571) = 571 / 571

GCD(1, 571) = 1

GCD of 512, 748, 95, 571 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 482, 480, 53, 376
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• GCD of 472, 133, 73, 159

1. What is the GCD of 512, 748, 95, 571?

GCD of 512, 748, 95, 571 is 1

2. Where do I get the detailed procedure to find GCD of 512, 748, 95, 571?

You can find a detailed procedure to find GCD of 512, 748, 95, 571 on our page.

3. How to find GCD of 512, 748, 95, 571 on a calculator?

You can find the GCD of 512, 748, 95, 571 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.