GCD of 392, 994, 572, 113 Calculator

Given Input numbers are 392, 994, 572, 113

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

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Greatest Common Divisior

We found the divisors of 392, 994, 572, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 994, 572, 113 is 1.

Therefore, GCD of numbers 392, 994, 572, 113 is 1

Given Input Data is 392, 994, 572, 113

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

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 113 is 113

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(392, 994) = 27832

GCD(392, 994) = ( 392 x 994 ) / 27832

GCD(392, 994) = 389648 / 27832

GCD(392, 994) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 572

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

LCM(14, 572) = 4004

GCD(14, 572) = ( 14 x 572 ) / 4004

GCD(14, 572) = 8008 / 4004

GCD(14, 572) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 113

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

LCM(2, 113) = 226

GCD(2, 113) = ( 2 x 113 ) / 226

GCD(2, 113) = 226 / 226

GCD(2, 113) = 1

GCD of 392, 994, 572, 113 is 1

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1. What is the GCD of 392, 994, 572, 113?

GCD of 392, 994, 572, 113 is 1

2. Where do I get the detailed procedure to find GCD of 392, 994, 572, 113?

You can find a detailed procedure to find GCD of 392, 994, 572, 113 on our page.

3. How to find GCD of 392, 994, 572, 113 on a calculator?

You can find the GCD of 392, 994, 572, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.