GCD of 572, 744, 257, 747 Calculator

Given Input numbers are 572, 744, 257, 747

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

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Greatest Common Divisior

We found the divisors of 572, 744, 257, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 572, 744, 257, 747 is 1.

Therefore, GCD of numbers 572, 744, 257, 747 is 1

Given Input Data is 572, 744, 257, 747

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

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 257 is 257

Prime Factorization of 747 is 3 x 3 x 83

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(572, 744) = 106392

GCD(572, 744) = ( 572 x 744 ) / 106392

GCD(572, 744) = 425568 / 106392

GCD(572, 744) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 257

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

LCM(4, 257) = 1028

GCD(4, 257) = ( 4 x 257 ) / 1028

GCD(4, 257) = 1028 / 1028

GCD(4, 257) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 747

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

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

GCD(1, 747) = 747 / 747

GCD(1, 747) = 1

GCD of 572, 744, 257, 747 is 1

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1. What is the GCD of 572, 744, 257, 747?

GCD of 572, 744, 257, 747 is 1

2. Where do I get the detailed procedure to find GCD of 572, 744, 257, 747?

You can find a detailed procedure to find GCD of 572, 744, 257, 747 on our page.

3. How to find GCD of 572, 744, 257, 747 on a calculator?

You can find the GCD of 572, 744, 257, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.