GCD of 576, 126, 188, 812 Calculator

Given Input numbers are 576, 126, 188, 812

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 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Greatest Common Divisior

We found the divisors of 576, 126, 188, 812 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 126, 188, 812 is 2.

Therefore, GCD of numbers 576, 126, 188, 812 is 2

Given Input Data is 576, 126, 188, 812

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 126 is 2 x 3 x 3 x 7

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 812 is 2 x 2 x 7 x 29

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 126) = 4032

GCD(576, 126) = ( 576 x 126 ) / 4032

GCD(576, 126) = 72576 / 4032

GCD(576, 126) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 188

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

LCM(18, 188) = 1692

GCD(18, 188) = ( 18 x 188 ) / 1692

GCD(18, 188) = 3384 / 1692

GCD(18, 188) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 812

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

LCM(2, 812) = 812

GCD(2, 812) = ( 2 x 812 ) / 812

GCD(2, 812) = 1624 / 812

GCD(2, 812) = 2

GCD of 576, 126, 188, 812 is 2

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1. What is the GCD of 576, 126, 188, 812?

GCD of 576, 126, 188, 812 is 2

2. Where do I get the detailed procedure to find GCD of 576, 126, 188, 812?

You can find a detailed procedure to find GCD of 576, 126, 188, 812 on our page.

3. How to find GCD of 576, 126, 188, 812 on a calculator?

You can find the GCD of 576, 126, 188, 812 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.