GCD of 873, 570, 48, 576 Calculator

Given Input numbers are 873, 570, 48, 576

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

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

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 873, 570, 48, 576 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 873, 570, 48, 576 is 3.

Therefore, GCD of numbers 873, 570, 48, 576 is 3

Given Input Data is 873, 570, 48, 576

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

Prime Factorization of 873 is 3 x 3 x 97

Prime Factorization of 570 is 2 x 3 x 5 x 19

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

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 3¹

Multiplying them we get the GCD as 3

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(873, 570) = 165870

GCD(873, 570) = ( 873 x 570 ) / 165870

GCD(873, 570) = 497610 / 165870

GCD(873, 570) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 48

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

LCM(3, 48) = 48

GCD(3, 48) = ( 3 x 48 ) / 48

GCD(3, 48) = 144 / 48

GCD(3, 48) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 576

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

LCM(3, 576) = 576

GCD(3, 576) = ( 3 x 576 ) / 576

GCD(3, 576) = 1728 / 576

GCD(3, 576) = 3

GCD of 873, 570, 48, 576 is 3

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1. What is the GCD of 873, 570, 48, 576?

GCD of 873, 570, 48, 576 is 3

2. Where do I get the detailed procedure to find GCD of 873, 570, 48, 576?

You can find a detailed procedure to find GCD of 873, 570, 48, 576 on our page.

3. How to find GCD of 873, 570, 48, 576 on a calculator?

You can find the GCD of 873, 570, 48, 576 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.