GCD of 508, 228, 733, 554 Calculator

Given Input numbers are 508, 228, 733, 554

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

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

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

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Greatest Common Divisior

We found the divisors of 508, 228, 733, 554 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 228, 733, 554 is 1.

Therefore, GCD of numbers 508, 228, 733, 554 is 1

Given Input Data is 508, 228, 733, 554

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

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 733 is 733

Prime Factorization of 554 is 2 x 277

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(508, 228) = 28956

GCD(508, 228) = ( 508 x 228 ) / 28956

GCD(508, 228) = 115824 / 28956

GCD(508, 228) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 733

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

LCM(4, 733) = 2932

GCD(4, 733) = ( 4 x 733 ) / 2932

GCD(4, 733) = 2932 / 2932

GCD(4, 733) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 554

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

LCM(1, 554) = 554

GCD(1, 554) = ( 1 x 554 ) / 554

GCD(1, 554) = 554 / 554

GCD(1, 554) = 1

GCD of 508, 228, 733, 554 is 1

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1. What is the GCD of 508, 228, 733, 554?

GCD of 508, 228, 733, 554 is 1

2. Where do I get the detailed procedure to find GCD of 508, 228, 733, 554?

You can find a detailed procedure to find GCD of 508, 228, 733, 554 on our page.

3. How to find GCD of 508, 228, 733, 554 on a calculator?

You can find the GCD of 508, 228, 733, 554 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.