GCD of 47, 813, 112, 301 Calculator

Given Input numbers are 47, 813, 112, 301

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

Divisors of 47

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

1, 47

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Greatest Common Divisior

We found the divisors of 47, 813, 112, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 813, 112, 301 is 1.

Therefore, GCD of numbers 47, 813, 112, 301 is 1

Given Input Data is 47, 813, 112, 301

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

Prime Factorization of 47 is 47

Prime Factorization of 813 is 3 x 271

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 301 is 7 x 43

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(47, 813) = 38211

GCD(47, 813) = ( 47 x 813 ) / 38211

GCD(47, 813) = 38211 / 38211

GCD(47, 813) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 301

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

LCM(1, 301) = 301

GCD(1, 301) = ( 1 x 301 ) / 301

GCD(1, 301) = 301 / 301

GCD(1, 301) = 1

GCD of 47, 813, 112, 301 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 60, 751, 642, 810
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1. What is the GCD of 47, 813, 112, 301?

GCD of 47, 813, 112, 301 is 1

2. Where do I get the detailed procedure to find GCD of 47, 813, 112, 301?

You can find a detailed procedure to find GCD of 47, 813, 112, 301 on our page.

3. How to find GCD of 47, 813, 112, 301 on a calculator?

You can find the GCD of 47, 813, 112, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.