GCD of 558, 362, 210, 238 Calculator

Given Input numbers are 558, 362, 210, 238

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 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Greatest Common Divisior

We found the divisors of 558, 362, 210, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 362, 210, 238 is 2.

Therefore, GCD of numbers 558, 362, 210, 238 is 2

Given Input Data is 558, 362, 210, 238

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 362 is 2 x 181

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 238 is 2 x 7 x 17

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(558, 362) = 100998

GCD(558, 362) = ( 558 x 362 ) / 100998

GCD(558, 362) = 201996 / 100998

GCD(558, 362) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 210

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

LCM(2, 210) = 210

GCD(2, 210) = ( 2 x 210 ) / 210

GCD(2, 210) = 420 / 210

GCD(2, 210) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 238

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

LCM(2, 238) = 238

GCD(2, 238) = ( 2 x 238 ) / 238

GCD(2, 238) = 476 / 238

GCD(2, 238) = 2

GCD of 558, 362, 210, 238 is 2

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• GCD of 519, 184, 538, 558
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1. What is the GCD of 558, 362, 210, 238?

GCD of 558, 362, 210, 238 is 2

2. Where do I get the detailed procedure to find GCD of 558, 362, 210, 238?

You can find a detailed procedure to find GCD of 558, 362, 210, 238 on our page.

3. How to find GCD of 558, 362, 210, 238 on a calculator?

You can find the GCD of 558, 362, 210, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.