GCD of 543, 338, 390 Calculator

Given Input numbers are 543, 338, 390

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

Divisors of 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Divisors of 338

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

1, 2, 13, 26, 169, 338

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Greatest Common Divisior

We found the divisors of 543, 338, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 543, 338, 390 is 1.

Therefore, GCD of numbers 543, 338, 390 is 1

Given Input Data is 543, 338, 390

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

Prime Factorization of 543 is 3 x 181

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 390 is 2 x 3 x 5 x 13

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(543, 338) = 183534

GCD(543, 338) = ( 543 x 338 ) / 183534

GCD(543, 338) = 183534 / 183534

GCD(543, 338) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 390

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

LCM(1, 390) = 390

GCD(1, 390) = ( 1 x 390 ) / 390

GCD(1, 390) = 390 / 390

GCD(1, 390) = 1

GCD of 543, 338, 390 is 1

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1. What is the GCD of 543, 338, 390?

GCD of 543, 338, 390 is 1

2. Where do I get the detailed procedure to find GCD of 543, 338, 390?

You can find a detailed procedure to find GCD of 543, 338, 390 on our page.

3. How to find GCD of 543, 338, 390 on a calculator?

You can find the GCD of 543, 338, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.