GCD of 486, 509, 552, 251 Calculator

Given Input numbers are 486, 509, 552, 251

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

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 509

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

1, 509

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

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Greatest Common Divisior

We found the divisors of 486, 509, 552, 251 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 486, 509, 552, 251 is 1.

Therefore, GCD of numbers 486, 509, 552, 251 is 1

Given Input Data is 486, 509, 552, 251

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

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 509 is 509

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

Prime Factorization of 251 is 251

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(486, 509) = 247374

GCD(486, 509) = ( 486 x 509 ) / 247374

GCD(486, 509) = 247374 / 247374

GCD(486, 509) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 251

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

LCM(1, 251) = 251

GCD(1, 251) = ( 1 x 251 ) / 251

GCD(1, 251) = 251 / 251

GCD(1, 251) = 1

GCD of 486, 509, 552, 251 is 1

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1. What is the GCD of 486, 509, 552, 251?

GCD of 486, 509, 552, 251 is 1

2. Where do I get the detailed procedure to find GCD of 486, 509, 552, 251?

You can find a detailed procedure to find GCD of 486, 509, 552, 251 on our page.

3. How to find GCD of 486, 509, 552, 251 on a calculator?

You can find the GCD of 486, 509, 552, 251 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.