GCD of 112, 363, 637, 398 Calculator

Given Input numbers are 112, 363, 637, 398

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 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 112, 363, 637, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 363, 637, 398 is 1.

Therefore, GCD of numbers 112, 363, 637, 398 is 1

Given Input Data is 112, 363, 637, 398

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 363 is 3 x 11 x 11

Prime Factorization of 637 is 7 x 7 x 13

Prime Factorization of 398 is 2 x 199

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, 363) = 40656

GCD(112, 363) = ( 112 x 363 ) / 40656

GCD(112, 363) = 40656 / 40656

GCD(112, 363) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 637

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

LCM(1, 637) = 637

GCD(1, 637) = ( 1 x 637 ) / 637

GCD(1, 637) = 637 / 637

GCD(1, 637) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

GCD of 112, 363, 637, 398 is 1

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1. What is the GCD of 112, 363, 637, 398?

GCD of 112, 363, 637, 398 is 1

2. Where do I get the detailed procedure to find GCD of 112, 363, 637, 398?

You can find a detailed procedure to find GCD of 112, 363, 637, 398 on our page.

3. How to find GCD of 112, 363, 637, 398 on a calculator?

You can find the GCD of 112, 363, 637, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.