GCD of 513, 353, 691, 544 Calculator

Given Input numbers are 513, 353, 691, 544

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 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Greatest Common Divisior

We found the divisors of 513, 353, 691, 544 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 353, 691, 544 is 1.

Therefore, GCD of numbers 513, 353, 691, 544 is 1

Given Input Data is 513, 353, 691, 544

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 353 is 353

Prime Factorization of 691 is 691

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

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, 353) = 181089

GCD(513, 353) = ( 513 x 353 ) / 181089

GCD(513, 353) = 181089 / 181089

GCD(513, 353) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 691

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

LCM(1, 691) = 691

GCD(1, 691) = ( 1 x 691 ) / 691

GCD(1, 691) = 691 / 691

GCD(1, 691) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 544

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

LCM(1, 544) = 544

GCD(1, 544) = ( 1 x 544 ) / 544

GCD(1, 544) = 544 / 544

GCD(1, 544) = 1

GCD of 513, 353, 691, 544 is 1

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1. What is the GCD of 513, 353, 691, 544?

GCD of 513, 353, 691, 544 is 1

2. Where do I get the detailed procedure to find GCD of 513, 353, 691, 544?

You can find a detailed procedure to find GCD of 513, 353, 691, 544 on our page.

3. How to find GCD of 513, 353, 691, 544 on a calculator?

You can find the GCD of 513, 353, 691, 544 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.