GCD of 558, 135, 489, 553 Calculator

Given Input numbers are 558, 135, 489, 553

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

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Greatest Common Divisior

We found the divisors of 558, 135, 489, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 135, 489, 553 is 1.

Therefore, GCD of numbers 558, 135, 489, 553 is 1

Given Input Data is 558, 135, 489, 553

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

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 489 is 3 x 163

Prime Factorization of 553 is 7 x 79

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(558, 135) = 8370

GCD(558, 135) = ( 558 x 135 ) / 8370

GCD(558, 135) = 75330 / 8370

GCD(558, 135) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 489

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

LCM(9, 489) = 1467

GCD(9, 489) = ( 9 x 489 ) / 1467

GCD(9, 489) = 4401 / 1467

GCD(9, 489) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 553

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

LCM(3, 553) = 1659

GCD(3, 553) = ( 3 x 553 ) / 1659

GCD(3, 553) = 1659 / 1659

GCD(3, 553) = 1

GCD of 558, 135, 489, 553 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 869, 100, 136, 557
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• GCD of 266, 162, 240, 663

1. What is the GCD of 558, 135, 489, 553?

GCD of 558, 135, 489, 553 is 1

2. Where do I get the detailed procedure to find GCD of 558, 135, 489, 553?

You can find a detailed procedure to find GCD of 558, 135, 489, 553 on our page.

3. How to find GCD of 558, 135, 489, 553 on a calculator?

You can find the GCD of 558, 135, 489, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.