GCD of 549, 720, 679, 311 Calculator

Given Input numbers are 549, 720, 679, 311

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 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Greatest Common Divisior

We found the divisors of 549, 720, 679, 311 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 549, 720, 679, 311 is 1.

Therefore, GCD of numbers 549, 720, 679, 311 is 1

Given Input Data is 549, 720, 679, 311

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 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 679 is 7 x 97

Prime Factorization of 311 is 311

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, 720) = 43920

GCD(549, 720) = ( 549 x 720 ) / 43920

GCD(549, 720) = 395280 / 43920

GCD(549, 720) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 679

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

LCM(9, 679) = 6111

GCD(9, 679) = ( 9 x 679 ) / 6111

GCD(9, 679) = 6111 / 6111

GCD(9, 679) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 311

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

LCM(1, 311) = 311

GCD(1, 311) = ( 1 x 311 ) / 311

GCD(1, 311) = 311 / 311

GCD(1, 311) = 1

GCD of 549, 720, 679, 311 is 1

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1. What is the GCD of 549, 720, 679, 311?

GCD of 549, 720, 679, 311 is 1

2. Where do I get the detailed procedure to find GCD of 549, 720, 679, 311?

You can find a detailed procedure to find GCD of 549, 720, 679, 311 on our page.

3. How to find GCD of 549, 720, 679, 311 on a calculator?

You can find the GCD of 549, 720, 679, 311 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.