GCD of 509, 226, 89, 552 Calculator

Given Input numbers are 509, 226, 89, 552

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

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Greatest Common Divisior

We found the divisors of 509, 226, 89, 552 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 226, 89, 552 is 1.

Therefore, GCD of numbers 509, 226, 89, 552 is 1

Given Input Data is 509, 226, 89, 552

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

Prime Factorization of 509 is 509

Prime Factorization of 226 is 2 x 113

Prime Factorization of 89 is 89

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

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(509, 226) = 115034

GCD(509, 226) = ( 509 x 226 ) / 115034

GCD(509, 226) = 115034 / 115034

GCD(509, 226) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 89

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

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 552

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

LCM(1, 552) = 552

GCD(1, 552) = ( 1 x 552 ) / 552

GCD(1, 552) = 552 / 552

GCD(1, 552) = 1

GCD of 509, 226, 89, 552 is 1

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1. What is the GCD of 509, 226, 89, 552?

GCD of 509, 226, 89, 552 is 1

2. Where do I get the detailed procedure to find GCD of 509, 226, 89, 552?

You can find a detailed procedure to find GCD of 509, 226, 89, 552 on our page.

3. How to find GCD of 509, 226, 89, 552 on a calculator?

You can find the GCD of 509, 226, 89, 552 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.