GCD of 504, 557, 180, 796 Calculator

Given Input numbers are 504, 557, 180, 796

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

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Greatest Common Divisior

We found the divisors of 504, 557, 180, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 557, 180, 796 is 1.

Therefore, GCD of numbers 504, 557, 180, 796 is 1

Given Input Data is 504, 557, 180, 796

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

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 557 is 557

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 796 is 2 x 2 x 199

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(504, 557) = 280728

GCD(504, 557) = ( 504 x 557 ) / 280728

GCD(504, 557) = 280728 / 280728

GCD(504, 557) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 796

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

LCM(1, 796) = 796

GCD(1, 796) = ( 1 x 796 ) / 796

GCD(1, 796) = 796 / 796

GCD(1, 796) = 1

GCD of 504, 557, 180, 796 is 1

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1. What is the GCD of 504, 557, 180, 796?

GCD of 504, 557, 180, 796 is 1

2. Where do I get the detailed procedure to find GCD of 504, 557, 180, 796?

You can find a detailed procedure to find GCD of 504, 557, 180, 796 on our page.

3. How to find GCD of 504, 557, 180, 796 on a calculator?

You can find the GCD of 504, 557, 180, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.