GCD of 112, 389, 71, 103 Calculator

Given Input numbers are 112, 389, 71, 103

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

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 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Greatest Common Divisior

We found the divisors of 112, 389, 71, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 389, 71, 103 is 1.

Therefore, GCD of numbers 112, 389, 71, 103 is 1

Given Input Data is 112, 389, 71, 103

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

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

Prime Factorization of 389 is 389

Prime Factorization of 71 is 71

Prime Factorization of 103 is 103

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(112, 389) = 43568

GCD(112, 389) = ( 112 x 389 ) / 43568

GCD(112, 389) = 43568 / 43568

GCD(112, 389) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 103

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

LCM(1, 103) = 103

GCD(1, 103) = ( 1 x 103 ) / 103

GCD(1, 103) = 103 / 103

GCD(1, 103) = 1

GCD of 112, 389, 71, 103 is 1

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1. What is the GCD of 112, 389, 71, 103?

GCD of 112, 389, 71, 103 is 1

2. Where do I get the detailed procedure to find GCD of 112, 389, 71, 103?

You can find a detailed procedure to find GCD of 112, 389, 71, 103 on our page.

3. How to find GCD of 112, 389, 71, 103 on a calculator?

You can find the GCD of 112, 389, 71, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.