GCD of 112, 794, 487, 407 Calculator

Given Input numbers are 112, 794, 487, 407

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 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 487

List of positive integer divisors of 487 that divides 487 without a remainder.

1, 487

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Greatest Common Divisior

We found the divisors of 112, 794, 487, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 794, 487, 407 is 1.

Therefore, GCD of numbers 112, 794, 487, 407 is 1

Given Input Data is 112, 794, 487, 407

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 794 is 2 x 397

Prime Factorization of 487 is 487

Prime Factorization of 407 is 11 x 37

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, 794) = 44464

GCD(112, 794) = ( 112 x 794 ) / 44464

GCD(112, 794) = 88928 / 44464

GCD(112, 794) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 487

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

LCM(2, 487) = 974

GCD(2, 487) = ( 2 x 487 ) / 974

GCD(2, 487) = 974 / 974

GCD(2, 487) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 407

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

LCM(1, 407) = 407

GCD(1, 407) = ( 1 x 407 ) / 407

GCD(1, 407) = 407 / 407

GCD(1, 407) = 1

GCD of 112, 794, 487, 407 is 1

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• GCD of 528, 253, 338, 683
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• GCD of 423, 839, 995, 282

1. What is the GCD of 112, 794, 487, 407?

GCD of 112, 794, 487, 407 is 1

2. Where do I get the detailed procedure to find GCD of 112, 794, 487, 407?

You can find a detailed procedure to find GCD of 112, 794, 487, 407 on our page.

3. How to find GCD of 112, 794, 487, 407 on a calculator?

You can find the GCD of 112, 794, 487, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.