GCD of 249, 777, 644, 504 Calculator

Given Input numbers are 249, 777, 644, 504

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

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

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

Greatest Common Divisior

We found the divisors of 249, 777, 644, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 249, 777, 644, 504 is 1.

Therefore, GCD of numbers 249, 777, 644, 504 is 1

Given Input Data is 249, 777, 644, 504

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

Prime Factorization of 249 is 3 x 83

Prime Factorization of 777 is 3 x 7 x 37

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 504 is 2 x 2 x 2 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(249, 777) = 64491

GCD(249, 777) = ( 249 x 777 ) / 64491

GCD(249, 777) = 193473 / 64491

GCD(249, 777) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 644

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

LCM(3, 644) = 1932

GCD(3, 644) = ( 3 x 644 ) / 1932

GCD(3, 644) = 1932 / 1932

GCD(3, 644) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 504

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

LCM(1, 504) = 504

GCD(1, 504) = ( 1 x 504 ) / 504

GCD(1, 504) = 504 / 504

GCD(1, 504) = 1

GCD of 249, 777, 644, 504 is 1

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1. What is the GCD of 249, 777, 644, 504?

GCD of 249, 777, 644, 504 is 1

2. Where do I get the detailed procedure to find GCD of 249, 777, 644, 504?

You can find a detailed procedure to find GCD of 249, 777, 644, 504 on our page.

3. How to find GCD of 249, 777, 644, 504 on a calculator?

You can find the GCD of 249, 777, 644, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.