GCD of 457, 961, 564, 189 Calculator

Given Input numbers are 457, 961, 564, 189

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

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

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 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Greatest Common Divisior

We found the divisors of 457, 961, 564, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 457, 961, 564, 189 is 1.

Therefore, GCD of numbers 457, 961, 564, 189 is 1

Given Input Data is 457, 961, 564, 189

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

Prime Factorization of 457 is 457

Prime Factorization of 961 is 31 x 31

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

Prime Factorization of 189 is 3 x 3 x 3 x 7

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(457, 961) = 439177

GCD(457, 961) = ( 457 x 961 ) / 439177

GCD(457, 961) = 439177 / 439177

GCD(457, 961) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 564

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

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

GCD(1, 564) = 564 / 564

GCD(1, 564) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

GCD of 457, 961, 564, 189 is 1

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1. What is the GCD of 457, 961, 564, 189?

GCD of 457, 961, 564, 189 is 1

2. Where do I get the detailed procedure to find GCD of 457, 961, 564, 189?

You can find a detailed procedure to find GCD of 457, 961, 564, 189 on our page.

3. How to find GCD of 457, 961, 564, 189 on a calculator?

You can find the GCD of 457, 961, 564, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.