GCD of 540, 939, 11, 685 Calculator

Given Input numbers are 540, 939, 11, 685

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

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 939

List of positive integer divisors of 939 that divides 939 without a remainder.

1, 3, 313, 939

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Greatest Common Divisior

We found the divisors of 540, 939, 11, 685 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 939, 11, 685 is 1.

Therefore, GCD of numbers 540, 939, 11, 685 is 1

Given Input Data is 540, 939, 11, 685

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

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 939 is 3 x 313

Prime Factorization of 11 is 11

Prime Factorization of 685 is 5 x 137

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(540, 939) = 169020

GCD(540, 939) = ( 540 x 939 ) / 169020

GCD(540, 939) = 507060 / 169020

GCD(540, 939) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 11

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

LCM(3, 11) = 33

GCD(3, 11) = ( 3 x 11 ) / 33

GCD(3, 11) = 33 / 33

GCD(3, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 685

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

LCM(1, 685) = 685

GCD(1, 685) = ( 1 x 685 ) / 685

GCD(1, 685) = 685 / 685

GCD(1, 685) = 1

GCD of 540, 939, 11, 685 is 1

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1. What is the GCD of 540, 939, 11, 685?

GCD of 540, 939, 11, 685 is 1

2. Where do I get the detailed procedure to find GCD of 540, 939, 11, 685?

You can find a detailed procedure to find GCD of 540, 939, 11, 685 on our page.

3. How to find GCD of 540, 939, 11, 685 on a calculator?

You can find the GCD of 540, 939, 11, 685 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.