GCD of 444, 517, 748, 842 Calculator

Given Input numbers are 444, 517, 748, 842

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

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

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 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Greatest Common Divisior

We found the divisors of 444, 517, 748, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 444, 517, 748, 842 is 1.

Therefore, GCD of numbers 444, 517, 748, 842 is 1

Given Input Data is 444, 517, 748, 842

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

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 517 is 11 x 47

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

Prime Factorization of 842 is 2 x 421

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(444, 517) = 229548

GCD(444, 517) = ( 444 x 517 ) / 229548

GCD(444, 517) = 229548 / 229548

GCD(444, 517) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 842

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

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

GCD(1, 842) = 842 / 842

GCD(1, 842) = 1

GCD of 444, 517, 748, 842 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 256, 631, 999, 141
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• GCD of 194, 742, 799, 759

1. What is the GCD of 444, 517, 748, 842?

GCD of 444, 517, 748, 842 is 1

2. Where do I get the detailed procedure to find GCD of 444, 517, 748, 842?

You can find a detailed procedure to find GCD of 444, 517, 748, 842 on our page.

3. How to find GCD of 444, 517, 748, 842 on a calculator?

You can find the GCD of 444, 517, 748, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.