GCD of 558, 471, 513, 801 Calculator

Given Input numbers are 558, 471, 513, 801

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 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 801

List of positive integer divisors of 801 that divides 801 without a remainder.

1, 3, 9, 89, 267, 801

Greatest Common Divisior

We found the divisors of 558, 471, 513, 801 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 471, 513, 801 is 3.

Therefore, GCD of numbers 558, 471, 513, 801 is 3

Given Input Data is 558, 471, 513, 801

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 471 is 3 x 157

Prime Factorization of 513 is 3 x 3 x 3 x 19

Prime Factorization of 801 is 3 x 3 x 89

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 471) = 87606

GCD(558, 471) = ( 558 x 471 ) / 87606

GCD(558, 471) = 262818 / 87606

GCD(558, 471) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 513

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

LCM(3, 513) = 513

GCD(3, 513) = ( 3 x 513 ) / 513

GCD(3, 513) = 1539 / 513

GCD(3, 513) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 801

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

LCM(3, 801) = 801

GCD(3, 801) = ( 3 x 801 ) / 801

GCD(3, 801) = 2403 / 801

GCD(3, 801) = 3

GCD of 558, 471, 513, 801 is 3

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• GCD of 969, 152, 322, 858
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1. What is the GCD of 558, 471, 513, 801?

GCD of 558, 471, 513, 801 is 3

2. Where do I get the detailed procedure to find GCD of 558, 471, 513, 801?

You can find a detailed procedure to find GCD of 558, 471, 513, 801 on our page.

3. How to find GCD of 558, 471, 513, 801 on a calculator?

You can find the GCD of 558, 471, 513, 801 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.