GCD of 500, 249, 727, 456 Calculator

Given Input numbers are 500, 249, 727, 456

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 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Greatest Common Divisior

We found the divisors of 500, 249, 727, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 249, 727, 456 is 1.

Therefore, GCD of numbers 500, 249, 727, 456 is 1

Given Input Data is 500, 249, 727, 456

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 249 is 3 x 83

Prime Factorization of 727 is 727

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

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, 249) = 124500

GCD(500, 249) = ( 500 x 249 ) / 124500

GCD(500, 249) = 124500 / 124500

GCD(500, 249) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 727

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

LCM(1, 727) = 727

GCD(1, 727) = ( 1 x 727 ) / 727

GCD(1, 727) = 727 / 727

GCD(1, 727) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 456

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

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 1

GCD of 500, 249, 727, 456 is 1

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• GCD of 171, 237, 902, 413
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• GCD of 424, 577, 505, 110

1. What is the GCD of 500, 249, 727, 456?

GCD of 500, 249, 727, 456 is 1

2. Where do I get the detailed procedure to find GCD of 500, 249, 727, 456?

You can find a detailed procedure to find GCD of 500, 249, 727, 456 on our page.

3. How to find GCD of 500, 249, 727, 456 on a calculator?

You can find the GCD of 500, 249, 727, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.