GCD of 576, 558, 36, 757 Calculator

Given Input numbers are 576, 558, 36, 757

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

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Greatest Common Divisior

We found the divisors of 576, 558, 36, 757 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 558, 36, 757 is 1.

Therefore, GCD of numbers 576, 558, 36, 757 is 1

Given Input Data is 576, 558, 36, 757

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

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 757 is 757

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(576, 558) = 17856

GCD(576, 558) = ( 576 x 558 ) / 17856

GCD(576, 558) = 321408 / 17856

GCD(576, 558) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 36

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

LCM(18, 36) = 36

GCD(18, 36) = ( 18 x 36 ) / 36

GCD(18, 36) = 648 / 36

GCD(18, 36) = 18

Step3:

Here we consider the GCD from the above i.e. 18 as first number and the next as 757

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

LCM(18, 757) = 13626

GCD(18, 757) = ( 18 x 757 ) / 13626

GCD(18, 757) = 13626 / 13626

GCD(18, 757) = 1

GCD of 576, 558, 36, 757 is 1

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1. What is the GCD of 576, 558, 36, 757?

GCD of 576, 558, 36, 757 is 1

2. Where do I get the detailed procedure to find GCD of 576, 558, 36, 757?

You can find a detailed procedure to find GCD of 576, 558, 36, 757 on our page.

3. How to find GCD of 576, 558, 36, 757 on a calculator?

You can find the GCD of 576, 558, 36, 757 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.