GCD of 564, 178, 194, 226 Calculator

Given Input numbers are 564, 178, 194, 226

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

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Greatest Common Divisior

We found the divisors of 564, 178, 194, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 178, 194, 226 is 2.

Therefore, GCD of numbers 564, 178, 194, 226 is 2

Given Input Data is 564, 178, 194, 226

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

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 178 is 2 x 89

Prime Factorization of 194 is 2 x 97

Prime Factorization of 226 is 2 x 113

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(564, 178) = 50196

GCD(564, 178) = ( 564 x 178 ) / 50196

GCD(564, 178) = 100392 / 50196

GCD(564, 178) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 194

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

LCM(2, 194) = 194

GCD(2, 194) = ( 2 x 194 ) / 194

GCD(2, 194) = 388 / 194

GCD(2, 194) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 226

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

LCM(2, 226) = 226

GCD(2, 226) = ( 2 x 226 ) / 226

GCD(2, 226) = 452 / 226

GCD(2, 226) = 2

GCD of 564, 178, 194, 226 is 2

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1. What is the GCD of 564, 178, 194, 226?

GCD of 564, 178, 194, 226 is 2

2. Where do I get the detailed procedure to find GCD of 564, 178, 194, 226?

You can find a detailed procedure to find GCD of 564, 178, 194, 226 on our page.

3. How to find GCD of 564, 178, 194, 226 on a calculator?

You can find the GCD of 564, 178, 194, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.