GCD of 804, 207, 509, 896 Calculator

Given Input numbers are 804, 207, 509, 896

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

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

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

Greatest Common Divisior

We found the divisors of 804, 207, 509, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 207, 509, 896 is 1.

Therefore, GCD of numbers 804, 207, 509, 896 is 1

Given Input Data is 804, 207, 509, 896

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

Prime Factorization of 804 is 2 x 2 x 3 x 67

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 509 is 509

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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(804, 207) = 55476

GCD(804, 207) = ( 804 x 207 ) / 55476

GCD(804, 207) = 166428 / 55476

GCD(804, 207) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 509

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

LCM(3, 509) = 1527

GCD(3, 509) = ( 3 x 509 ) / 1527

GCD(3, 509) = 1527 / 1527

GCD(3, 509) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 896

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

LCM(1, 896) = 896

GCD(1, 896) = ( 1 x 896 ) / 896

GCD(1, 896) = 896 / 896

GCD(1, 896) = 1

GCD of 804, 207, 509, 896 is 1

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1. What is the GCD of 804, 207, 509, 896?

GCD of 804, 207, 509, 896 is 1

2. Where do I get the detailed procedure to find GCD of 804, 207, 509, 896?

You can find a detailed procedure to find GCD of 804, 207, 509, 896 on our page.

3. How to find GCD of 804, 207, 509, 896 on a calculator?

You can find the GCD of 804, 207, 509, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.