GCD of 508, 629, 180, 358 Calculator

Given Input numbers are 508, 629, 180, 358

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

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 629

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

1, 17, 37, 629

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 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 508, 629, 180, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 629, 180, 358 is 1.

Therefore, GCD of numbers 508, 629, 180, 358 is 1

Given Input Data is 508, 629, 180, 358

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

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 629 is 17 x 37

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

Prime Factorization of 358 is 2 x 179

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(508, 629) = 319532

GCD(508, 629) = ( 508 x 629 ) / 319532

GCD(508, 629) = 319532 / 319532

GCD(508, 629) = 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 358

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

LCM(1, 358) = 358

GCD(1, 358) = ( 1 x 358 ) / 358

GCD(1, 358) = 358 / 358

GCD(1, 358) = 1

GCD of 508, 629, 180, 358 is 1

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1. What is the GCD of 508, 629, 180, 358?

GCD of 508, 629, 180, 358 is 1

2. Where do I get the detailed procedure to find GCD of 508, 629, 180, 358?

You can find a detailed procedure to find GCD of 508, 629, 180, 358 on our page.

3. How to find GCD of 508, 629, 180, 358 on a calculator?

You can find the GCD of 508, 629, 180, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.