GCD of 576, 474, 189, 247 Calculator

Given Input numbers are 576, 474, 189, 247

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 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 247

List of positive integer divisors of 247 that divides 247 without a remainder.

1, 13, 19, 247

Greatest Common Divisior

We found the divisors of 576, 474, 189, 247 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 474, 189, 247 is 1.

Therefore, GCD of numbers 576, 474, 189, 247 is 1

Given Input Data is 576, 474, 189, 247

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 474 is 2 x 3 x 79

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 247 is 13 x 19

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, 474) = 45504

GCD(576, 474) = ( 576 x 474 ) / 45504

GCD(576, 474) = 273024 / 45504

GCD(576, 474) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 189

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

LCM(6, 189) = 378

GCD(6, 189) = ( 6 x 189 ) / 378

GCD(6, 189) = 1134 / 378

GCD(6, 189) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 247

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

LCM(3, 247) = 741

GCD(3, 247) = ( 3 x 247 ) / 741

GCD(3, 247) = 741 / 741

GCD(3, 247) = 1

GCD of 576, 474, 189, 247 is 1

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• GCD of 132, 119, 232, 547
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• GCD of 162, 150, 764, 922

1. What is the GCD of 576, 474, 189, 247?

GCD of 576, 474, 189, 247 is 1

2. Where do I get the detailed procedure to find GCD of 576, 474, 189, 247?

You can find a detailed procedure to find GCD of 576, 474, 189, 247 on our page.

3. How to find GCD of 576, 474, 189, 247 on a calculator?

You can find the GCD of 576, 474, 189, 247 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.