GCD of 369, 507, 14, 329 Calculator

Given Input numbers are 369, 507, 14, 329

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 329

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

1, 7, 47, 329

Greatest Common Divisior

We found the divisors of 369, 507, 14, 329 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 507, 14, 329 is 1.

Therefore, GCD of numbers 369, 507, 14, 329 is 1

Given Input Data is 369, 507, 14, 329

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 14 is 2 x 7

Prime Factorization of 329 is 7 x 47

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(369, 507) = 62361

GCD(369, 507) = ( 369 x 507 ) / 62361

GCD(369, 507) = 187083 / 62361

GCD(369, 507) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 14

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

LCM(3, 14) = 42

GCD(3, 14) = ( 3 x 14 ) / 42

GCD(3, 14) = 42 / 42

GCD(3, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 329

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

LCM(1, 329) = 329

GCD(1, 329) = ( 1 x 329 ) / 329

GCD(1, 329) = 329 / 329

GCD(1, 329) = 1

GCD of 369, 507, 14, 329 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 822, 484, 17, 876
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1. What is the GCD of 369, 507, 14, 329?

GCD of 369, 507, 14, 329 is 1

2. Where do I get the detailed procedure to find GCD of 369, 507, 14, 329?

You can find a detailed procedure to find GCD of 369, 507, 14, 329 on our page.

3. How to find GCD of 369, 507, 14, 329 on a calculator?

You can find the GCD of 369, 507, 14, 329 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.