GCD of 314, 112, 899 Calculator

Given Input numbers are 314, 112, 899

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

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

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 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Greatest Common Divisior

We found the divisors of 314, 112, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 112, 899 is 1.

Therefore, GCD of numbers 314, 112, 899 is 1

Given Input Data is 314, 112, 899

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

Prime Factorization of 314 is 2 x 157

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

Prime Factorization of 899 is 29 x 31

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(314, 112) = 17584

GCD(314, 112) = ( 314 x 112 ) / 17584

GCD(314, 112) = 35168 / 17584

GCD(314, 112) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 899

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

LCM(2, 899) = 1798

GCD(2, 899) = ( 2 x 899 ) / 1798

GCD(2, 899) = 1798 / 1798

GCD(2, 899) = 1

GCD of 314, 112, 899 is 1

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1. What is the GCD of 314, 112, 899?

GCD of 314, 112, 899 is 1

2. Where do I get the detailed procedure to find GCD of 314, 112, 899?

You can find a detailed procedure to find GCD of 314, 112, 899 on our page.

3. How to find GCD of 314, 112, 899 on a calculator?

You can find the GCD of 314, 112, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.