GCD of 513, 329, 342, 693 Calculator

Given Input numbers are 513, 329, 342, 693

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 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Greatest Common Divisior

We found the divisors of 513, 329, 342, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 329, 342, 693 is 1.

Therefore, GCD of numbers 513, 329, 342, 693 is 1

Given Input Data is 513, 329, 342, 693

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 329 is 7 x 47

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 693 is 3 x 3 x 7 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, 329) = 168777

GCD(513, 329) = ( 513 x 329 ) / 168777

GCD(513, 329) = 168777 / 168777

GCD(513, 329) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 693

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

LCM(1, 693) = 693

GCD(1, 693) = ( 1 x 693 ) / 693

GCD(1, 693) = 693 / 693

GCD(1, 693) = 1

GCD of 513, 329, 342, 693 is 1

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1. What is the GCD of 513, 329, 342, 693?

GCD of 513, 329, 342, 693 is 1

2. Where do I get the detailed procedure to find GCD of 513, 329, 342, 693?

You can find a detailed procedure to find GCD of 513, 329, 342, 693 on our page.

3. How to find GCD of 513, 329, 342, 693 on a calculator?

You can find the GCD of 513, 329, 342, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.