GCD of 804, 480, 134, 869 Calculator

Given Input numbers are 804, 480, 134, 869

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 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Greatest Common Divisior

We found the divisors of 804, 480, 134, 869 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 480, 134, 869 is 1.

Therefore, GCD of numbers 804, 480, 134, 869 is 1

Given Input Data is 804, 480, 134, 869

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 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 134 is 2 x 67

Prime Factorization of 869 is 11 x 79

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, 480) = 32160

GCD(804, 480) = ( 804 x 480 ) / 32160

GCD(804, 480) = 385920 / 32160

GCD(804, 480) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 134

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

LCM(12, 134) = 804

GCD(12, 134) = ( 12 x 134 ) / 804

GCD(12, 134) = 1608 / 804

GCD(12, 134) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 869

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

LCM(2, 869) = 1738

GCD(2, 869) = ( 2 x 869 ) / 1738

GCD(2, 869) = 1738 / 1738

GCD(2, 869) = 1

GCD of 804, 480, 134, 869 is 1

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1. What is the GCD of 804, 480, 134, 869?

GCD of 804, 480, 134, 869 is 1

2. Where do I get the detailed procedure to find GCD of 804, 480, 134, 869?

You can find a detailed procedure to find GCD of 804, 480, 134, 869 on our page.

3. How to find GCD of 804, 480, 134, 869 on a calculator?

You can find the GCD of 804, 480, 134, 869 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.