GCD of 884, 314, 50, 507 Calculator

Given Input numbers are 884, 314, 50, 507

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

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Greatest Common Divisior

We found the divisors of 884, 314, 50, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 884, 314, 50, 507 is 1.

Therefore, GCD of numbers 884, 314, 50, 507 is 1

Given Input Data is 884, 314, 50, 507

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

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 314 is 2 x 157

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 507 is 3 x 13 x 13

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(884, 314) = 138788

GCD(884, 314) = ( 884 x 314 ) / 138788

GCD(884, 314) = 277576 / 138788

GCD(884, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 50

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

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

GCD(2, 50) = 100 / 50

GCD(2, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 507

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

LCM(2, 507) = 1014

GCD(2, 507) = ( 2 x 507 ) / 1014

GCD(2, 507) = 1014 / 1014

GCD(2, 507) = 1

GCD of 884, 314, 50, 507 is 1

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1. What is the GCD of 884, 314, 50, 507?

GCD of 884, 314, 50, 507 is 1

2. Where do I get the detailed procedure to find GCD of 884, 314, 50, 507?

You can find a detailed procedure to find GCD of 884, 314, 50, 507 on our page.

3. How to find GCD of 884, 314, 50, 507 on a calculator?

You can find the GCD of 884, 314, 50, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.