GCD of 513, 784, 165, 576 Calculator

Given Input numbers are 513, 784, 165, 576

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 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

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

Greatest Common Divisior

We found the divisors of 513, 784, 165, 576 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 784, 165, 576 is 1.

Therefore, GCD of numbers 513, 784, 165, 576 is 1

Given Input Data is 513, 784, 165, 576

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 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 165 is 3 x 5 x 11

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

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, 784) = 402192

GCD(513, 784) = ( 513 x 784 ) / 402192

GCD(513, 784) = 402192 / 402192

GCD(513, 784) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 165

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

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

GCD(1, 165) = 165 / 165

GCD(1, 165) = 1

Step3:

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

GCD of 513, 784, 165, 576 is 1

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• GCD of 559, 164, 261, 935

1. What is the GCD of 513, 784, 165, 576?

GCD of 513, 784, 165, 576 is 1

2. Where do I get the detailed procedure to find GCD of 513, 784, 165, 576?

You can find a detailed procedure to find GCD of 513, 784, 165, 576 on our page.

3. How to find GCD of 513, 784, 165, 576 on a calculator?

You can find the GCD of 513, 784, 165, 576 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.