GCD of 338, 547, 583, 330 Calculator

Given Input numbers are 338, 547, 583, 330

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

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 547

List of positive integer divisors of 547 that divides 547 without a remainder.

1, 547

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Greatest Common Divisior

We found the divisors of 338, 547, 583, 330 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 547, 583, 330 is 1.

Therefore, GCD of numbers 338, 547, 583, 330 is 1

Given Input Data is 338, 547, 583, 330

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

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 547 is 547

Prime Factorization of 583 is 11 x 53

Prime Factorization of 330 is 2 x 3 x 5 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(338, 547) = 184886

GCD(338, 547) = ( 338 x 547 ) / 184886

GCD(338, 547) = 184886 / 184886

GCD(338, 547) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 583

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

LCM(1, 583) = 583

GCD(1, 583) = ( 1 x 583 ) / 583

GCD(1, 583) = 583 / 583

GCD(1, 583) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 330

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

LCM(1, 330) = 330

GCD(1, 330) = ( 1 x 330 ) / 330

GCD(1, 330) = 330 / 330

GCD(1, 330) = 1

GCD of 338, 547, 583, 330 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 653, 569, 777, 792
• GCD of 639, 364, 103, 599
• GCD of 647, 253, 760, 786
• GCD of 210, 831, 547, 331
• GCD of 783, 274, 259, 831

1. What is the GCD of 338, 547, 583, 330?

GCD of 338, 547, 583, 330 is 1

2. Where do I get the detailed procedure to find GCD of 338, 547, 583, 330?

You can find a detailed procedure to find GCD of 338, 547, 583, 330 on our page.

3. How to find GCD of 338, 547, 583, 330 on a calculator?

You can find the GCD of 338, 547, 583, 330 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.