GCD of 382, 776, 189, 540 Calculator

Given Input numbers are 382, 776, 189, 540

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

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

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

Greatest Common Divisior

We found the divisors of 382, 776, 189, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 776, 189, 540 is 1.

Therefore, GCD of numbers 382, 776, 189, 540 is 1

Given Input Data is 382, 776, 189, 540

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

Prime Factorization of 382 is 2 x 191

Prime Factorization of 776 is 2 x 2 x 2 x 97

Prime Factorization of 189 is 3 x 3 x 3 x 7

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

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(382, 776) = 148216

GCD(382, 776) = ( 382 x 776 ) / 148216

GCD(382, 776) = 296432 / 148216

GCD(382, 776) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 189

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

LCM(2, 189) = 378

GCD(2, 189) = ( 2 x 189 ) / 378

GCD(2, 189) = 378 / 378

GCD(2, 189) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 540

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

LCM(1, 540) = 540

GCD(1, 540) = ( 1 x 540 ) / 540

GCD(1, 540) = 540 / 540

GCD(1, 540) = 1

GCD of 382, 776, 189, 540 is 1

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1. What is the GCD of 382, 776, 189, 540?

GCD of 382, 776, 189, 540 is 1

2. Where do I get the detailed procedure to find GCD of 382, 776, 189, 540?

You can find a detailed procedure to find GCD of 382, 776, 189, 540 on our page.

3. How to find GCD of 382, 776, 189, 540 on a calculator?

You can find the GCD of 382, 776, 189, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.