GCD of 804, 957, 515, 756 Calculator

Given Input numbers are 804, 957, 515, 756

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 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Greatest Common Divisior

We found the divisors of 804, 957, 515, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 957, 515, 756 is 1.

Therefore, GCD of numbers 804, 957, 515, 756 is 1

Given Input Data is 804, 957, 515, 756

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 957 is 3 x 11 x 29

Prime Factorization of 515 is 5 x 103

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 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, 957) = 256476

GCD(804, 957) = ( 804 x 957 ) / 256476

GCD(804, 957) = 769428 / 256476

GCD(804, 957) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 515

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

LCM(3, 515) = 1545

GCD(3, 515) = ( 3 x 515 ) / 1545

GCD(3, 515) = 1545 / 1545

GCD(3, 515) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 756

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

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

GCD(1, 756) = 756 / 756

GCD(1, 756) = 1

GCD of 804, 957, 515, 756 is 1

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1. What is the GCD of 804, 957, 515, 756?

GCD of 804, 957, 515, 756 is 1

2. Where do I get the detailed procedure to find GCD of 804, 957, 515, 756?

You can find a detailed procedure to find GCD of 804, 957, 515, 756 on our page.

3. How to find GCD of 804, 957, 515, 756 on a calculator?

You can find the GCD of 804, 957, 515, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.