GCD of 131, 891, 47, 561 Calculator

Given Input numbers are 131, 891, 47, 561

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

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Greatest Common Divisior

We found the divisors of 131, 891, 47, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 131, 891, 47, 561 is 1.

Therefore, GCD of numbers 131, 891, 47, 561 is 1

Given Input Data is 131, 891, 47, 561

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

Prime Factorization of 131 is 131

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 47 is 47

Prime Factorization of 561 is 3 x 11 x 17

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(131, 891) = 116721

GCD(131, 891) = ( 131 x 891 ) / 116721

GCD(131, 891) = 116721 / 116721

GCD(131, 891) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 561

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

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

GCD(1, 561) = 561 / 561

GCD(1, 561) = 1

GCD of 131, 891, 47, 561 is 1

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1. What is the GCD of 131, 891, 47, 561?

GCD of 131, 891, 47, 561 is 1

2. Where do I get the detailed procedure to find GCD of 131, 891, 47, 561?

You can find a detailed procedure to find GCD of 131, 891, 47, 561 on our page.

3. How to find GCD of 131, 891, 47, 561 on a calculator?

You can find the GCD of 131, 891, 47, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.