GCD of 772, 282, 487, 804 Calculator

Given Input numbers are 772, 282, 487, 804

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

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 487

List of positive integer divisors of 487 that divides 487 without a remainder.

1, 487

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

Greatest Common Divisior

We found the divisors of 772, 282, 487, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 282, 487, 804 is 1.

Therefore, GCD of numbers 772, 282, 487, 804 is 1

Given Input Data is 772, 282, 487, 804

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

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 487 is 487

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

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(772, 282) = 108852

GCD(772, 282) = ( 772 x 282 ) / 108852

GCD(772, 282) = 217704 / 108852

GCD(772, 282) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 487

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

LCM(2, 487) = 974

GCD(2, 487) = ( 2 x 487 ) / 974

GCD(2, 487) = 974 / 974

GCD(2, 487) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 804

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

LCM(1, 804) = 804

GCD(1, 804) = ( 1 x 804 ) / 804

GCD(1, 804) = 804 / 804

GCD(1, 804) = 1

GCD of 772, 282, 487, 804 is 1

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1. What is the GCD of 772, 282, 487, 804?

GCD of 772, 282, 487, 804 is 1

2. Where do I get the detailed procedure to find GCD of 772, 282, 487, 804?

You can find a detailed procedure to find GCD of 772, 282, 487, 804 on our page.

3. How to find GCD of 772, 282, 487, 804 on a calculator?

You can find the GCD of 772, 282, 487, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.