GCD of 500, 208, 577, 455 Calculator

Given Input numbers are 500, 208, 577, 455

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 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Greatest Common Divisior

We found the divisors of 500, 208, 577, 455 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 208, 577, 455 is 1.

Therefore, GCD of numbers 500, 208, 577, 455 is 1

Given Input Data is 500, 208, 577, 455

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 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 577 is 577

Prime Factorization of 455 is 5 x 7 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(500, 208) = 26000

GCD(500, 208) = ( 500 x 208 ) / 26000

GCD(500, 208) = 104000 / 26000

GCD(500, 208) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 577

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

LCM(4, 577) = 2308

GCD(4, 577) = ( 4 x 577 ) / 2308

GCD(4, 577) = 2308 / 2308

GCD(4, 577) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 455

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

LCM(1, 455) = 455

GCD(1, 455) = ( 1 x 455 ) / 455

GCD(1, 455) = 455 / 455

GCD(1, 455) = 1

GCD of 500, 208, 577, 455 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 730, 569, 651, 703
• GCD of 580, 609, 386, 521
• GCD of 929, 262, 734, 329
• GCD of 788, 821, 449, 641
• GCD of 537, 972, 652, 910

1. What is the GCD of 500, 208, 577, 455?

GCD of 500, 208, 577, 455 is 1

2. Where do I get the detailed procedure to find GCD of 500, 208, 577, 455?

You can find a detailed procedure to find GCD of 500, 208, 577, 455 on our page.

3. How to find GCD of 500, 208, 577, 455 on a calculator?

You can find the GCD of 500, 208, 577, 455 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.