GCD of 314, 555, 84, 383 Calculator

Given Input numbers are 314, 555, 84, 383

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

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 555

List of positive integer divisors of 555 that divides 555 without a remainder.

1, 3, 5, 15, 37, 111, 185, 555

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 383

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

1, 383

Greatest Common Divisior

We found the divisors of 314, 555, 84, 383 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 555, 84, 383 is 1.

Therefore, GCD of numbers 314, 555, 84, 383 is 1

Given Input Data is 314, 555, 84, 383

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 555 is 3 x 5 x 37

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 383 is 383

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(314, 555) = 174270

GCD(314, 555) = ( 314 x 555 ) / 174270

GCD(314, 555) = 174270 / 174270

GCD(314, 555) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 383

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

LCM(1, 383) = 383

GCD(1, 383) = ( 1 x 383 ) / 383

GCD(1, 383) = 383 / 383

GCD(1, 383) = 1

GCD of 314, 555, 84, 383 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 681, 534, 37, 351
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• GCD of 136, 172, 78, 505

1. What is the GCD of 314, 555, 84, 383?

GCD of 314, 555, 84, 383 is 1

2. Where do I get the detailed procedure to find GCD of 314, 555, 84, 383?

You can find a detailed procedure to find GCD of 314, 555, 84, 383 on our page.

3. How to find GCD of 314, 555, 84, 383 on a calculator?

You can find the GCD of 314, 555, 84, 383 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.