GCD of 500, 164, 448, 503 Calculator

Given Input numbers are 500, 164, 448, 503

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

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 503

List of positive integer divisors of 503 that divides 503 without a remainder.

1, 503

Greatest Common Divisior

We found the divisors of 500, 164, 448, 503 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 164, 448, 503 is 1.

Therefore, GCD of numbers 500, 164, 448, 503 is 1

Given Input Data is 500, 164, 448, 503

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

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 503 is 503

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(500, 164) = 20500

GCD(500, 164) = ( 500 x 164 ) / 20500

GCD(500, 164) = 82000 / 20500

GCD(500, 164) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 448

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

LCM(4, 448) = 448

GCD(4, 448) = ( 4 x 448 ) / 448

GCD(4, 448) = 1792 / 448

GCD(4, 448) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 503

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

LCM(4, 503) = 2012

GCD(4, 503) = ( 4 x 503 ) / 2012

GCD(4, 503) = 2012 / 2012

GCD(4, 503) = 1

GCD of 500, 164, 448, 503 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 999, 405, 871, 158
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• GCD of 125, 497, 630, 187
• GCD of 283, 785, 609, 622
• GCD of 806, 151, 605, 547

1. What is the GCD of 500, 164, 448, 503?

GCD of 500, 164, 448, 503 is 1

2. Where do I get the detailed procedure to find GCD of 500, 164, 448, 503?

You can find a detailed procedure to find GCD of 500, 164, 448, 503 on our page.

3. How to find GCD of 500, 164, 448, 503 on a calculator?

You can find the GCD of 500, 164, 448, 503 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.