GCD of 552, 394, 780, 809 Calculator

Given Input numbers are 552, 394, 780, 809

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

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Greatest Common Divisior

We found the divisors of 552, 394, 780, 809 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 394, 780, 809 is 1.

Therefore, GCD of numbers 552, 394, 780, 809 is 1

Given Input Data is 552, 394, 780, 809

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

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 394 is 2 x 197

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 809 is 809

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(552, 394) = 108744

GCD(552, 394) = ( 552 x 394 ) / 108744

GCD(552, 394) = 217488 / 108744

GCD(552, 394) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 780

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

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

GCD(2, 780) = 1560 / 780

GCD(2, 780) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 809

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

LCM(2, 809) = 1618

GCD(2, 809) = ( 2 x 809 ) / 1618

GCD(2, 809) = 1618 / 1618

GCD(2, 809) = 1

GCD of 552, 394, 780, 809 is 1

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1. What is the GCD of 552, 394, 780, 809?

GCD of 552, 394, 780, 809 is 1

2. Where do I get the detailed procedure to find GCD of 552, 394, 780, 809?

You can find a detailed procedure to find GCD of 552, 394, 780, 809 on our page.

3. How to find GCD of 552, 394, 780, 809 on a calculator?

You can find the GCD of 552, 394, 780, 809 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.