GCD of 513, 314, 576, 135 Calculator

Given Input numbers are 513, 314, 576, 135

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 314

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

1, 2, 157, 314

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Greatest Common Divisior

We found the divisors of 513, 314, 576, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 314, 576, 135 is 1.

Therefore, GCD of numbers 513, 314, 576, 135 is 1

Given Input Data is 513, 314, 576, 135

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 314 is 2 x 157

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 135 is 3 x 3 x 3 x 5

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, 314) = 161082

GCD(513, 314) = ( 513 x 314 ) / 161082

GCD(513, 314) = 161082 / 161082

GCD(513, 314) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 576

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

LCM(1, 576) = 576

GCD(1, 576) = ( 1 x 576 ) / 576

GCD(1, 576) = 576 / 576

GCD(1, 576) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 135

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

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

GCD(1, 135) = 135 / 135

GCD(1, 135) = 1

GCD of 513, 314, 576, 135 is 1

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• GCD of 244, 792, 257, 649
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1. What is the GCD of 513, 314, 576, 135?

GCD of 513, 314, 576, 135 is 1

2. Where do I get the detailed procedure to find GCD of 513, 314, 576, 135?

You can find a detailed procedure to find GCD of 513, 314, 576, 135 on our page.

3. How to find GCD of 513, 314, 576, 135 on a calculator?

You can find the GCD of 513, 314, 576, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.