GCD of 22, 164, 558, 188 Calculator

Given Input numbers are 22, 164, 558, 188

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

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

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 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Greatest Common Divisior

We found the divisors of 22, 164, 558, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 164, 558, 188 is 2.

Therefore, GCD of numbers 22, 164, 558, 188 is 2

Given Input Data is 22, 164, 558, 188

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

Prime Factorization of 22 is 2 x 11

Prime Factorization of 164 is 2 x 2 x 41

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

Prime Factorization of 188 is 2 x 2 x 47

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(22, 164) = 1804

GCD(22, 164) = ( 22 x 164 ) / 1804

GCD(22, 164) = 3608 / 1804

GCD(22, 164) = 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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 188

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

LCM(2, 188) = 188

GCD(2, 188) = ( 2 x 188 ) / 188

GCD(2, 188) = 376 / 188

GCD(2, 188) = 2

GCD of 22, 164, 558, 188 is 2

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• GCD of 69, 118, 288, 314
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• GCD of 72, 949, 282, 309
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• GCD of 91, 283, 859, 416

1. What is the GCD of 22, 164, 558, 188?

GCD of 22, 164, 558, 188 is 2

2. Where do I get the detailed procedure to find GCD of 22, 164, 558, 188?

You can find a detailed procedure to find GCD of 22, 164, 558, 188 on our page.

3. How to find GCD of 22, 164, 558, 188 on a calculator?

You can find the GCD of 22, 164, 558, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.