GCD of 503, 598, 726, 228 Calculator

Given Input numbers are 503, 598, 726, 228

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

Divisors of 503

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

1, 503

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Greatest Common Divisior

We found the divisors of 503, 598, 726, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 503, 598, 726, 228 is 1.

Therefore, GCD of numbers 503, 598, 726, 228 is 1

Given Input Data is 503, 598, 726, 228

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

Prime Factorization of 503 is 503

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 228 is 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(503, 598) = 300794

GCD(503, 598) = ( 503 x 598 ) / 300794

GCD(503, 598) = 300794 / 300794

GCD(503, 598) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 726

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

LCM(1, 726) = 726

GCD(1, 726) = ( 1 x 726 ) / 726

GCD(1, 726) = 726 / 726

GCD(1, 726) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 228

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

LCM(1, 228) = 228

GCD(1, 228) = ( 1 x 228 ) / 228

GCD(1, 228) = 228 / 228

GCD(1, 228) = 1

GCD of 503, 598, 726, 228 is 1

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1. What is the GCD of 503, 598, 726, 228?

GCD of 503, 598, 726, 228 is 1

2. Where do I get the detailed procedure to find GCD of 503, 598, 726, 228?

You can find a detailed procedure to find GCD of 503, 598, 726, 228 on our page.

3. How to find GCD of 503, 598, 726, 228 on a calculator?

You can find the GCD of 503, 598, 726, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.