GCD of 576, 896, 73, 100 Calculator

Given Input numbers are 576, 896, 73, 100

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 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 576, 896, 73, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 896, 73, 100 is 1.

Therefore, GCD of numbers 576, 896, 73, 100 is 1

Given Input Data is 576, 896, 73, 100

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 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 73 is 73

Prime Factorization of 100 is 2 x 2 x 5 x 5

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, 896) = 8064

GCD(576, 896) = ( 576 x 896 ) / 8064

GCD(576, 896) = 516096 / 8064

GCD(576, 896) = 64

Step2:

Here we consider the GCD from the above i.e. 64 as first number and the next as 73

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

LCM(64, 73) = 4672

GCD(64, 73) = ( 64 x 73 ) / 4672

GCD(64, 73) = 4672 / 4672

GCD(64, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 576, 896, 73, 100 is 1

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1. What is the GCD of 576, 896, 73, 100?

GCD of 576, 896, 73, 100 is 1

2. Where do I get the detailed procedure to find GCD of 576, 896, 73, 100?

You can find a detailed procedure to find GCD of 576, 896, 73, 100 on our page.

3. How to find GCD of 576, 896, 73, 100 on a calculator?

You can find the GCD of 576, 896, 73, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.