GCD of 449, 748, 539, 112 Calculator

Given Input numbers are 449, 748, 539, 112

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

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 539

List of positive integer divisors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

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 449, 748, 539, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 449, 748, 539, 112 is 1.

Therefore, GCD of numbers 449, 748, 539, 112 is 1

Given Input Data is 449, 748, 539, 112

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

Prime Factorization of 449 is 449

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 539 is 7 x 7 x 11

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

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(449, 748) = 335852

GCD(449, 748) = ( 449 x 748 ) / 335852

GCD(449, 748) = 335852 / 335852

GCD(449, 748) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 539

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

LCM(1, 539) = 539

GCD(1, 539) = ( 1 x 539 ) / 539

GCD(1, 539) = 539 / 539

GCD(1, 539) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

GCD of 449, 748, 539, 112 is 1

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1. What is the GCD of 449, 748, 539, 112?

GCD of 449, 748, 539, 112 is 1

2. Where do I get the detailed procedure to find GCD of 449, 748, 539, 112?

You can find a detailed procedure to find GCD of 449, 748, 539, 112 on our page.

3. How to find GCD of 449, 748, 539, 112 on a calculator?

You can find the GCD of 449, 748, 539, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.