GCD of 112, 104, 14, 557 Calculator

Given Input numbers are 112, 104, 14, 557

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 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Greatest Common Divisior

We found the divisors of 112, 104, 14, 557 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 104, 14, 557 is 1.

Therefore, GCD of numbers 112, 104, 14, 557 is 1

Given Input Data is 112, 104, 14, 557

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 104 is 2 x 2 x 2 x 13

Prime Factorization of 14 is 2 x 7

Prime Factorization of 557 is 557

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, 104) = 1456

GCD(112, 104) = ( 112 x 104 ) / 1456

GCD(112, 104) = 11648 / 1456

GCD(112, 104) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 14

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

LCM(8, 14) = 56

GCD(8, 14) = ( 8 x 14 ) / 56

GCD(8, 14) = 112 / 56

GCD(8, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 557

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

LCM(2, 557) = 1114

GCD(2, 557) = ( 2 x 557 ) / 1114

GCD(2, 557) = 1114 / 1114

GCD(2, 557) = 1

GCD of 112, 104, 14, 557 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 855, 136, 22, 799
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• GCD of 712, 476, 63, 977
• GCD of 911, 131, 26, 435

1. What is the GCD of 112, 104, 14, 557?

GCD of 112, 104, 14, 557 is 1

2. Where do I get the detailed procedure to find GCD of 112, 104, 14, 557?

You can find a detailed procedure to find GCD of 112, 104, 14, 557 on our page.

3. How to find GCD of 112, 104, 14, 557 on a calculator?

You can find the GCD of 112, 104, 14, 557 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.