GCD of 576, 879, 550, 653 Calculator

Given Input numbers are 576, 879, 550, 653

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 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Greatest Common Divisior

We found the divisors of 576, 879, 550, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 879, 550, 653 is 1.

Therefore, GCD of numbers 576, 879, 550, 653 is 1

Given Input Data is 576, 879, 550, 653

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 879 is 3 x 293

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 653 is 653

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, 879) = 168768

GCD(576, 879) = ( 576 x 879 ) / 168768

GCD(576, 879) = 506304 / 168768

GCD(576, 879) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 550

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

LCM(3, 550) = 1650

GCD(3, 550) = ( 3 x 550 ) / 1650

GCD(3, 550) = 1650 / 1650

GCD(3, 550) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 653

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

LCM(1, 653) = 653

GCD(1, 653) = ( 1 x 653 ) / 653

GCD(1, 653) = 653 / 653

GCD(1, 653) = 1

GCD of 576, 879, 550, 653 is 1

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1. What is the GCD of 576, 879, 550, 653?

GCD of 576, 879, 550, 653 is 1

2. Where do I get the detailed procedure to find GCD of 576, 879, 550, 653?

You can find a detailed procedure to find GCD of 576, 879, 550, 653 on our page.

3. How to find GCD of 576, 879, 550, 653 on a calculator?

You can find the GCD of 576, 879, 550, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.