GCD of 383, 284, 554, 513 Calculator

Given Input numbers are 383, 284, 554, 513

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

Divisors of 383

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

1, 383

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Greatest Common Divisior

We found the divisors of 383, 284, 554, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 383, 284, 554, 513 is 1.

Therefore, GCD of numbers 383, 284, 554, 513 is 1

Given Input Data is 383, 284, 554, 513

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

Prime Factorization of 383 is 383

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 554 is 2 x 277

Prime Factorization of 513 is 3 x 3 x 3 x 19

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(383, 284) = 108772

GCD(383, 284) = ( 383 x 284 ) / 108772

GCD(383, 284) = 108772 / 108772

GCD(383, 284) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 554

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

LCM(1, 554) = 554

GCD(1, 554) = ( 1 x 554 ) / 554

GCD(1, 554) = 554 / 554

GCD(1, 554) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 513

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

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

GCD(1, 513) = 513 / 513

GCD(1, 513) = 1

GCD of 383, 284, 554, 513 is 1

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1. What is the GCD of 383, 284, 554, 513?

GCD of 383, 284, 554, 513 is 1

2. Where do I get the detailed procedure to find GCD of 383, 284, 554, 513?

You can find a detailed procedure to find GCD of 383, 284, 554, 513 on our page.

3. How to find GCD of 383, 284, 554, 513 on a calculator?

You can find the GCD of 383, 284, 554, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.