GCD of 900, 973, 789, 576 Calculator

Given Input numbers are 900, 973, 789, 576

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

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

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 900, 973, 789, 576 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 973, 789, 576 is 1.

Therefore, GCD of numbers 900, 973, 789, 576 is 1

Given Input Data is 900, 973, 789, 576

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

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 973 is 7 x 139

Prime Factorization of 789 is 3 x 263

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

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(900, 973) = 875700

GCD(900, 973) = ( 900 x 973 ) / 875700

GCD(900, 973) = 875700 / 875700

GCD(900, 973) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 789

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

LCM(1, 789) = 789

GCD(1, 789) = ( 1 x 789 ) / 789

GCD(1, 789) = 789 / 789

GCD(1, 789) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 576

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

LCM(1, 576) = 576

GCD(1, 576) = ( 1 x 576 ) / 576

GCD(1, 576) = 576 / 576

GCD(1, 576) = 1

GCD of 900, 973, 789, 576 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 757, 468, 227, 745
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• GCD of 684, 905, 289, 433

1. What is the GCD of 900, 973, 789, 576?

GCD of 900, 973, 789, 576 is 1

2. Where do I get the detailed procedure to find GCD of 900, 973, 789, 576?

You can find a detailed procedure to find GCD of 900, 973, 789, 576 on our page.

3. How to find GCD of 900, 973, 789, 576 on a calculator?

You can find the GCD of 900, 973, 789, 576 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.