GCD of 549, 383, 87, 313 Calculator

Given Input numbers are 549, 383, 87, 313

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 383

List of positive integer divisors of 383 that divides 383 without a remainder.

1, 383

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 549, 383, 87, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 549, 383, 87, 313 is 1.

Therefore, GCD of numbers 549, 383, 87, 313 is 1

Given Input Data is 549, 383, 87, 313

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 383 is 383

Prime Factorization of 87 is 3 x 29

Prime Factorization of 313 is 313

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, 383) = 210267

GCD(549, 383) = ( 549 x 383 ) / 210267

GCD(549, 383) = 210267 / 210267

GCD(549, 383) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 549, 383, 87, 313 is 1

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1. What is the GCD of 549, 383, 87, 313?

GCD of 549, 383, 87, 313 is 1

2. Where do I get the detailed procedure to find GCD of 549, 383, 87, 313?

You can find a detailed procedure to find GCD of 549, 383, 87, 313 on our page.

3. How to find GCD of 549, 383, 87, 313 on a calculator?

You can find the GCD of 549, 383, 87, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.