GCD of 513, 255, 454, 550 Calculator

Given Input numbers are 513, 255, 454, 550

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

Divisors of 513

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

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

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Greatest Common Divisior

We found the divisors of 513, 255, 454, 550 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 255, 454, 550 is 1.

Therefore, GCD of numbers 513, 255, 454, 550 is 1

Given Input Data is 513, 255, 454, 550

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

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

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 454 is 2 x 227

Prime Factorization of 550 is 2 x 5 x 5 x 11

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(513, 255) = 43605

GCD(513, 255) = ( 513 x 255 ) / 43605

GCD(513, 255) = 130815 / 43605

GCD(513, 255) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 454

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

LCM(3, 454) = 1362

GCD(3, 454) = ( 3 x 454 ) / 1362

GCD(3, 454) = 1362 / 1362

GCD(3, 454) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 550

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

LCM(1, 550) = 550

GCD(1, 550) = ( 1 x 550 ) / 550

GCD(1, 550) = 550 / 550

GCD(1, 550) = 1

GCD of 513, 255, 454, 550 is 1

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• GCD of 236, 493, 389, 935
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• GCD of 982, 684, 500, 773

1. What is the GCD of 513, 255, 454, 550?

GCD of 513, 255, 454, 550 is 1

2. Where do I get the detailed procedure to find GCD of 513, 255, 454, 550?

You can find a detailed procedure to find GCD of 513, 255, 454, 550 on our page.

3. How to find GCD of 513, 255, 454, 550 on a calculator?

You can find the GCD of 513, 255, 454, 550 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.