GCD of 549, 498, 906, 842 Calculator

Given Input numbers are 549, 498, 906, 842

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

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

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 549, 498, 906, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 549, 498, 906, 842 is 1.

Therefore, GCD of numbers 549, 498, 906, 842 is 1

Given Input Data is 549, 498, 906, 842

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

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 906 is 2 x 3 x 151

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(549, 498) = 91134

GCD(549, 498) = ( 549 x 498 ) / 91134

GCD(549, 498) = 273402 / 91134

GCD(549, 498) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 906

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

LCM(3, 906) = 906

GCD(3, 906) = ( 3 x 906 ) / 906

GCD(3, 906) = 2718 / 906

GCD(3, 906) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 842

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

LCM(3, 842) = 2526

GCD(3, 842) = ( 3 x 842 ) / 2526

GCD(3, 842) = 2526 / 2526

GCD(3, 842) = 1

GCD of 549, 498, 906, 842 is 1

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1. What is the GCD of 549, 498, 906, 842?

GCD of 549, 498, 906, 842 is 1

2. Where do I get the detailed procedure to find GCD of 549, 498, 906, 842?

You can find a detailed procedure to find GCD of 549, 498, 906, 842 on our page.

3. How to find GCD of 549, 498, 906, 842 on a calculator?

You can find the GCD of 549, 498, 906, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.