GCD of 549, 823, 982, 309 Calculator

Given Input numbers are 549, 823, 982, 309

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 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 549, 823, 982, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 549, 823, 982, 309 is 1.

Therefore, GCD of numbers 549, 823, 982, 309 is 1

Given Input Data is 549, 823, 982, 309

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 823 is 823

Prime Factorization of 982 is 2 x 491

Prime Factorization of 309 is 3 x 103

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, 823) = 451827

GCD(549, 823) = ( 549 x 823 ) / 451827

GCD(549, 823) = 451827 / 451827

GCD(549, 823) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 982

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

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

GCD(1, 982) = 982 / 982

GCD(1, 982) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

GCD of 549, 823, 982, 309 is 1

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1. What is the GCD of 549, 823, 982, 309?

GCD of 549, 823, 982, 309 is 1

2. Where do I get the detailed procedure to find GCD of 549, 823, 982, 309?

You can find a detailed procedure to find GCD of 549, 823, 982, 309 on our page.

3. How to find GCD of 549, 823, 982, 309 on a calculator?

You can find the GCD of 549, 823, 982, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.