GCD of 845, 891, 20, 456 Calculator

Given Input numbers are 845, 891, 20, 456

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

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

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 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Greatest Common Divisior

We found the divisors of 845, 891, 20, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 845, 891, 20, 456 is 1.

Therefore, GCD of numbers 845, 891, 20, 456 is 1

Given Input Data is 845, 891, 20, 456

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

Prime Factorization of 845 is 5 x 13 x 13

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

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(845, 891) = 752895

GCD(845, 891) = ( 845 x 891 ) / 752895

GCD(845, 891) = 752895 / 752895

GCD(845, 891) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 456

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

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 1

GCD of 845, 891, 20, 456 is 1

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1. What is the GCD of 845, 891, 20, 456?

GCD of 845, 891, 20, 456 is 1

2. Where do I get the detailed procedure to find GCD of 845, 891, 20, 456?

You can find a detailed procedure to find GCD of 845, 891, 20, 456 on our page.

3. How to find GCD of 845, 891, 20, 456 on a calculator?

You can find the GCD of 845, 891, 20, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.