GCD of 576, 172, 441, 534 Calculator

Given Input numbers are 576, 172, 441, 534

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 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 534

List of positive integer divisors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

Greatest Common Divisior

We found the divisors of 576, 172, 441, 534 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 172, 441, 534 is 1.

Therefore, GCD of numbers 576, 172, 441, 534 is 1

Given Input Data is 576, 172, 441, 534

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 172 is 2 x 2 x 43

Prime Factorization of 441 is 3 x 3 x 7 x 7

Prime Factorization of 534 is 2 x 3 x 89

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, 172) = 24768

GCD(576, 172) = ( 576 x 172 ) / 24768

GCD(576, 172) = 99072 / 24768

GCD(576, 172) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 441

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

LCM(4, 441) = 1764

GCD(4, 441) = ( 4 x 441 ) / 1764

GCD(4, 441) = 1764 / 1764

GCD(4, 441) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 534

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

LCM(1, 534) = 534

GCD(1, 534) = ( 1 x 534 ) / 534

GCD(1, 534) = 534 / 534

GCD(1, 534) = 1

GCD of 576, 172, 441, 534 is 1

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1. What is the GCD of 576, 172, 441, 534?

GCD of 576, 172, 441, 534 is 1

2. Where do I get the detailed procedure to find GCD of 576, 172, 441, 534?

You can find a detailed procedure to find GCD of 576, 172, 441, 534 on our page.

3. How to find GCD of 576, 172, 441, 534 on a calculator?

You can find the GCD of 576, 172, 441, 534 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.