GCD of 576, 100, 99, 828 Calculator

Given Input numbers are 576, 100, 99, 828

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 100

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

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

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 576, 100, 99, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 100, 99, 828 is 1.

Therefore, GCD of numbers 576, 100, 99, 828 is 1

Given Input Data is 576, 100, 99, 828

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 100 is 2 x 2 x 5 x 5

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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, 100) = 14400

GCD(576, 100) = ( 576 x 100 ) / 14400

GCD(576, 100) = 57600 / 14400

GCD(576, 100) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 99

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

LCM(4, 99) = 396

GCD(4, 99) = ( 4 x 99 ) / 396

GCD(4, 99) = 396 / 396

GCD(4, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 576, 100, 99, 828 is 1

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• GCD of 138, 726, 58, 691
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• GCD of 113, 705, 61, 284

1. What is the GCD of 576, 100, 99, 828?

GCD of 576, 100, 99, 828 is 1

2. Where do I get the detailed procedure to find GCD of 576, 100, 99, 828?

You can find a detailed procedure to find GCD of 576, 100, 99, 828 on our page.

3. How to find GCD of 576, 100, 99, 828 on a calculator?

You can find the GCD of 576, 100, 99, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.