GCD of 112, 475, 292 Calculator

Given Input numbers are 112, 475, 292

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 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Greatest Common Divisior

We found the divisors of 112, 475, 292 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 475, 292 is 1.

Therefore, GCD of numbers 112, 475, 292 is 1

Given Input Data is 112, 475, 292

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 475 is 5 x 5 x 19

Prime Factorization of 292 is 2 x 2 x 73

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, 475) = 53200

GCD(112, 475) = ( 112 x 475 ) / 53200

GCD(112, 475) = 53200 / 53200

GCD(112, 475) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 292

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

LCM(1, 292) = 292

GCD(1, 292) = ( 1 x 292 ) / 292

GCD(1, 292) = 292 / 292

GCD(1, 292) = 1

GCD of 112, 475, 292 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 795, 210, 813
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1. What is the GCD of 112, 475, 292?

GCD of 112, 475, 292 is 1

2. Where do I get the detailed procedure to find GCD of 112, 475, 292?

You can find a detailed procedure to find GCD of 112, 475, 292 on our page.

3. How to find GCD of 112, 475, 292 on a calculator?

You can find the GCD of 112, 475, 292 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.