GCD of 842, 372, 284, 576 Calculator

Given Input numbers are 842, 372, 284, 576

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

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

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 842, 372, 284, 576 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 842, 372, 284, 576 is 2.

Therefore, GCD of numbers 842, 372, 284, 576 is 2

Given Input Data is 842, 372, 284, 576

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

Prime Factorization of 842 is 2 x 421

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 284 is 2 x 2 x 71

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(842, 372) = 156612

GCD(842, 372) = ( 842 x 372 ) / 156612

GCD(842, 372) = 313224 / 156612

GCD(842, 372) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 284

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

LCM(2, 284) = 284

GCD(2, 284) = ( 2 x 284 ) / 284

GCD(2, 284) = 568 / 284

GCD(2, 284) = 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 842, 372, 284, 576 is 2

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1. What is the GCD of 842, 372, 284, 576?

GCD of 842, 372, 284, 576 is 2

2. Where do I get the detailed procedure to find GCD of 842, 372, 284, 576?

You can find a detailed procedure to find GCD of 842, 372, 284, 576 on our page.

3. How to find GCD of 842, 372, 284, 576 on a calculator?

You can find the GCD of 842, 372, 284, 576 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.