GCD of 889, 284, 112 Calculator

Given Input numbers are 889, 284, 112

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

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

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

Greatest Common Divisior

We found the divisors of 889, 284, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 889, 284, 112 is 1.

Therefore, GCD of numbers 889, 284, 112 is 1

Given Input Data is 889, 284, 112

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

Prime Factorization of 889 is 7 x 127

Prime Factorization of 284 is 2 x 2 x 71

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

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(889, 284) = 252476

GCD(889, 284) = ( 889 x 284 ) / 252476

GCD(889, 284) = 252476 / 252476

GCD(889, 284) = 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

GCD of 889, 284, 112 is 1

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1. What is the GCD of 889, 284, 112?

GCD of 889, 284, 112 is 1

2. Where do I get the detailed procedure to find GCD of 889, 284, 112?

You can find a detailed procedure to find GCD of 889, 284, 112 on our page.

3. How to find GCD of 889, 284, 112 on a calculator?

You can find the GCD of 889, 284, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.