GCD of 504, 168, 80, 629 Calculator

Given Input numbers are 504, 168, 80, 629

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 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Greatest Common Divisior

We found the divisors of 504, 168, 80, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 168, 80, 629 is 1.

Therefore, GCD of numbers 504, 168, 80, 629 is 1

Given Input Data is 504, 168, 80, 629

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 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 629 is 17 x 37

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, 168) = 504

GCD(504, 168) = ( 504 x 168 ) / 504

GCD(504, 168) = 84672 / 504

GCD(504, 168) = 168

Step2:

Here we consider the GCD from the above i.e. 168 as first number and the next as 80

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

LCM(168, 80) = 1680

GCD(168, 80) = ( 168 x 80 ) / 1680

GCD(168, 80) = 13440 / 1680

GCD(168, 80) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 629

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

LCM(8, 629) = 5032

GCD(8, 629) = ( 8 x 629 ) / 5032

GCD(8, 629) = 5032 / 5032

GCD(8, 629) = 1

GCD of 504, 168, 80, 629 is 1

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1. What is the GCD of 504, 168, 80, 629?

GCD of 504, 168, 80, 629 is 1

2. Where do I get the detailed procedure to find GCD of 504, 168, 80, 629?

You can find a detailed procedure to find GCD of 504, 168, 80, 629 on our page.

3. How to find GCD of 504, 168, 80, 629 on a calculator?

You can find the GCD of 504, 168, 80, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.