GCD of 338, 118, 558 Calculator

Given Input numbers are 338, 118, 558

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

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

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

Greatest Common Divisior

We found the divisors of 338, 118, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 118, 558 is 2.

Therefore, GCD of numbers 338, 118, 558 is 2

Given Input Data is 338, 118, 558

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

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 118 is 2 x 59

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(338, 118) = 19942

GCD(338, 118) = ( 338 x 118 ) / 19942

GCD(338, 118) = 39884 / 19942

GCD(338, 118) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 558

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

LCM(2, 558) = 558

GCD(2, 558) = ( 2 x 558 ) / 558

GCD(2, 558) = 1116 / 558

GCD(2, 558) = 2

GCD of 338, 118, 558 is 2

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1. What is the GCD of 338, 118, 558?

GCD of 338, 118, 558 is 2

2. Where do I get the detailed procedure to find GCD of 338, 118, 558?

You can find a detailed procedure to find GCD of 338, 118, 558 on our page.

3. How to find GCD of 338, 118, 558 on a calculator?

You can find the GCD of 338, 118, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.