GCD of 724, 188, 442, 576 Calculator

Given Input numbers are 724, 188, 442, 576

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

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 188

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

1, 2, 4, 47, 94, 188

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

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

Greatest Common Divisior

We found the divisors of 724, 188, 442, 576 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 188, 442, 576 is 2.

Therefore, GCD of numbers 724, 188, 442, 576 is 2

Given Input Data is 724, 188, 442, 576

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

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 442 is 2 x 13 x 17

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

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(724, 188) = 34028

GCD(724, 188) = ( 724 x 188 ) / 34028

GCD(724, 188) = 136112 / 34028

GCD(724, 188) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 442

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

LCM(4, 442) = 884

GCD(4, 442) = ( 4 x 442 ) / 884

GCD(4, 442) = 1768 / 884

GCD(4, 442) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 576

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

LCM(2, 576) = 576

GCD(2, 576) = ( 2 x 576 ) / 576

GCD(2, 576) = 1152 / 576

GCD(2, 576) = 2

GCD of 724, 188, 442, 576 is 2

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• GCD of 913, 266, 108, 444
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• GCD of 890, 612, 780, 888

1. What is the GCD of 724, 188, 442, 576?

GCD of 724, 188, 442, 576 is 2

2. Where do I get the detailed procedure to find GCD of 724, 188, 442, 576?

You can find a detailed procedure to find GCD of 724, 188, 442, 576 on our page.

3. How to find GCD of 724, 188, 442, 576 on a calculator?

You can find the GCD of 724, 188, 442, 576 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.