GCD of 476, 674, 112 Calculator

Given Input numbers are 476, 674, 112

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

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

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 476, 674, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 674, 112 is 2.

Therefore, GCD of numbers 476, 674, 112 is 2

Given Input Data is 476, 674, 112

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

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 674 is 2 x 337

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(476, 674) = 160412

GCD(476, 674) = ( 476 x 674 ) / 160412

GCD(476, 674) = 320824 / 160412

GCD(476, 674) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 112

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

LCM(2, 112) = 112

GCD(2, 112) = ( 2 x 112 ) / 112

GCD(2, 112) = 224 / 112

GCD(2, 112) = 2

GCD of 476, 674, 112 is 2

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1. What is the GCD of 476, 674, 112?

GCD of 476, 674, 112 is 2

2. Where do I get the detailed procedure to find GCD of 476, 674, 112?

You can find a detailed procedure to find GCD of 476, 674, 112 on our page.

3. How to find GCD of 476, 674, 112 on a calculator?

You can find the GCD of 476, 674, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.