GCD of 112, 183, 111, 938 Calculator

Given Input numbers are 112, 183, 111, 938

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 183

List of positive integer divisors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Greatest Common Divisior

We found the divisors of 112, 183, 111, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 183, 111, 938 is 1.

Therefore, GCD of numbers 112, 183, 111, 938 is 1

Given Input Data is 112, 183, 111, 938

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 183 is 3 x 61

Prime Factorization of 111 is 3 x 37

Prime Factorization of 938 is 2 x 7 x 67

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, 183) = 20496

GCD(112, 183) = ( 112 x 183 ) / 20496

GCD(112, 183) = 20496 / 20496

GCD(112, 183) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 111

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

LCM(1, 111) = 111

GCD(1, 111) = ( 1 x 111 ) / 111

GCD(1, 111) = 111 / 111

GCD(1, 111) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 938

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

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

GCD(1, 938) = 938 / 938

GCD(1, 938) = 1

GCD of 112, 183, 111, 938 is 1

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1. What is the GCD of 112, 183, 111, 938?

GCD of 112, 183, 111, 938 is 1

2. Where do I get the detailed procedure to find GCD of 112, 183, 111, 938?

You can find a detailed procedure to find GCD of 112, 183, 111, 938 on our page.

3. How to find GCD of 112, 183, 111, 938 on a calculator?

You can find the GCD of 112, 183, 111, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.