GCD of 558, 312, 150, 813 Calculator

Given Input numbers are 558, 312, 150, 813

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 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Greatest Common Divisior

We found the divisors of 558, 312, 150, 813 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 312, 150, 813 is 3.

Therefore, GCD of numbers 558, 312, 150, 813 is 3

Given Input Data is 558, 312, 150, 813

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 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 813 is 3 x 271

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, 312) = 29016

GCD(558, 312) = ( 558 x 312 ) / 29016

GCD(558, 312) = 174096 / 29016

GCD(558, 312) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 150

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

LCM(6, 150) = 150

GCD(6, 150) = ( 6 x 150 ) / 150

GCD(6, 150) = 900 / 150

GCD(6, 150) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 813

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

LCM(6, 813) = 1626

GCD(6, 813) = ( 6 x 813 ) / 1626

GCD(6, 813) = 4878 / 1626

GCD(6, 813) = 3

GCD of 558, 312, 150, 813 is 3

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1. What is the GCD of 558, 312, 150, 813?

GCD of 558, 312, 150, 813 is 3

2. Where do I get the detailed procedure to find GCD of 558, 312, 150, 813?

You can find a detailed procedure to find GCD of 558, 312, 150, 813 on our page.

3. How to find GCD of 558, 312, 150, 813 on a calculator?

You can find the GCD of 558, 312, 150, 813 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.