GCD of 382, 369, 497, 180 Calculator

Given Input numbers are 382, 369, 497, 180

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 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Greatest Common Divisior

We found the divisors of 382, 369, 497, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 369, 497, 180 is 1.

Therefore, GCD of numbers 382, 369, 497, 180 is 1

Given Input Data is 382, 369, 497, 180

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

Prime Factorization of 382 is 2 x 191

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 497 is 7 x 71

Prime Factorization of 180 is 2 x 2 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, 369) = 140958

GCD(382, 369) = ( 382 x 369 ) / 140958

GCD(382, 369) = 140958 / 140958

GCD(382, 369) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 497

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

LCM(1, 497) = 497

GCD(1, 497) = ( 1 x 497 ) / 497

GCD(1, 497) = 497 / 497

GCD(1, 497) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

GCD of 382, 369, 497, 180 is 1

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1. What is the GCD of 382, 369, 497, 180?

GCD of 382, 369, 497, 180 is 1

2. Where do I get the detailed procedure to find GCD of 382, 369, 497, 180?

You can find a detailed procedure to find GCD of 382, 369, 497, 180 on our page.

3. How to find GCD of 382, 369, 497, 180 on a calculator?

You can find the GCD of 382, 369, 497, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.