GCD of 540, 783, 778, 381 Calculator

Given Input numbers are 540, 783, 778, 381

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 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 540, 783, 778, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 783, 778, 381 is 1.

Therefore, GCD of numbers 540, 783, 778, 381 is 1

Given Input Data is 540, 783, 778, 381

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 783 is 3 x 3 x 3 x 29

Prime Factorization of 778 is 2 x 389

Prime Factorization of 381 is 3 x 127

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, 783) = 15660

GCD(540, 783) = ( 540 x 783 ) / 15660

GCD(540, 783) = 422820 / 15660

GCD(540, 783) = 27

Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 778

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

LCM(27, 778) = 21006

GCD(27, 778) = ( 27 x 778 ) / 21006

GCD(27, 778) = 21006 / 21006

GCD(27, 778) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 381

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

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

GCD(1, 381) = 381 / 381

GCD(1, 381) = 1

GCD of 540, 783, 778, 381 is 1

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1. What is the GCD of 540, 783, 778, 381?

GCD of 540, 783, 778, 381 is 1

2. Where do I get the detailed procedure to find GCD of 540, 783, 778, 381?

You can find a detailed procedure to find GCD of 540, 783, 778, 381 on our page.

3. How to find GCD of 540, 783, 778, 381 on a calculator?

You can find the GCD of 540, 783, 778, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.