GCD of 564, 906, 122, 191 Calculator

Given Input numbers are 564, 906, 122, 191

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 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 191

List of positive integer divisors of 191 that divides 191 without a remainder.

1, 191

Greatest Common Divisior

We found the divisors of 564, 906, 122, 191 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 906, 122, 191 is 1.

Therefore, GCD of numbers 564, 906, 122, 191 is 1

Given Input Data is 564, 906, 122, 191

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 906 is 2 x 3 x 151

Prime Factorization of 122 is 2 x 61

Prime Factorization of 191 is 191

The above numbers do not have any common prime factor. So GCD is 1

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, 906) = 85164

GCD(564, 906) = ( 564 x 906 ) / 85164

GCD(564, 906) = 510984 / 85164

GCD(564, 906) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 122

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

LCM(6, 122) = 366

GCD(6, 122) = ( 6 x 122 ) / 366

GCD(6, 122) = 732 / 366

GCD(6, 122) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 191

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

LCM(2, 191) = 382

GCD(2, 191) = ( 2 x 191 ) / 382

GCD(2, 191) = 382 / 382

GCD(2, 191) = 1

GCD of 564, 906, 122, 191 is 1

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1. What is the GCD of 564, 906, 122, 191?

GCD of 564, 906, 122, 191 is 1

2. Where do I get the detailed procedure to find GCD of 564, 906, 122, 191?

You can find a detailed procedure to find GCD of 564, 906, 122, 191 on our page.

3. How to find GCD of 564, 906, 122, 191 on a calculator?

You can find the GCD of 564, 906, 122, 191 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.