GCD of 549, 566, 80, 676 Calculator

Given Input numbers are 549, 566, 80, 676

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 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Greatest Common Divisior

We found the divisors of 549, 566, 80, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 549, 566, 80, 676 is 1.

Therefore, GCD of numbers 549, 566, 80, 676 is 1

Given Input Data is 549, 566, 80, 676

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 566 is 2 x 283

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 676 is 2 x 2 x 13 x 13

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, 566) = 310734

GCD(549, 566) = ( 549 x 566 ) / 310734

GCD(549, 566) = 310734 / 310734

GCD(549, 566) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 80

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

LCM(1, 80) = 80

GCD(1, 80) = ( 1 x 80 ) / 80

GCD(1, 80) = 80 / 80

GCD(1, 80) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 676

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

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

GCD(1, 676) = 676 / 676

GCD(1, 676) = 1

GCD of 549, 566, 80, 676 is 1

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1. What is the GCD of 549, 566, 80, 676?

GCD of 549, 566, 80, 676 is 1

2. Where do I get the detailed procedure to find GCD of 549, 566, 80, 676?

You can find a detailed procedure to find GCD of 549, 566, 80, 676 on our page.

3. How to find GCD of 549, 566, 80, 676 on a calculator?

You can find the GCD of 549, 566, 80, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.