GCD of 300, 113, 56, 859 Calculator

Given Input numbers are 300, 113, 56, 859

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

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

Greatest Common Divisior

We found the divisors of 300, 113, 56, 859 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 113, 56, 859 is 1.

Therefore, GCD of numbers 300, 113, 56, 859 is 1

Given Input Data is 300, 113, 56, 859

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 113 is 113

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 859 is 859

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(300, 113) = 33900

GCD(300, 113) = ( 300 x 113 ) / 33900

GCD(300, 113) = 33900 / 33900

GCD(300, 113) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 859

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

LCM(1, 859) = 859

GCD(1, 859) = ( 1 x 859 ) / 859

GCD(1, 859) = 859 / 859

GCD(1, 859) = 1

GCD of 300, 113, 56, 859 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 618, 563, 33, 160
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• GCD of 497, 607, 43, 424

1. What is the GCD of 300, 113, 56, 859?

GCD of 300, 113, 56, 859 is 1

2. Where do I get the detailed procedure to find GCD of 300, 113, 56, 859?

You can find a detailed procedure to find GCD of 300, 113, 56, 859 on our page.

3. How to find GCD of 300, 113, 56, 859 on a calculator?

You can find the GCD of 300, 113, 56, 859 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.