GCD of 382, 526, 189, 675 Calculator

Given Input numbers are 382, 526, 189, 675

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 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

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 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Greatest Common Divisior

We found the divisors of 382, 526, 189, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 526, 189, 675 is 1.

Therefore, GCD of numbers 382, 526, 189, 675 is 1

Given Input Data is 382, 526, 189, 675

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

Prime Factorization of 382 is 2 x 191

Prime Factorization of 526 is 2 x 263

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 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, 526) = 100466

GCD(382, 526) = ( 382 x 526 ) / 100466

GCD(382, 526) = 200932 / 100466

GCD(382, 526) = 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 675

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

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

GCD(1, 675) = 675 / 675

GCD(1, 675) = 1

GCD of 382, 526, 189, 675 is 1

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1. What is the GCD of 382, 526, 189, 675?

GCD of 382, 526, 189, 675 is 1

2. Where do I get the detailed procedure to find GCD of 382, 526, 189, 675?

You can find a detailed procedure to find GCD of 382, 526, 189, 675 on our page.

3. How to find GCD of 382, 526, 189, 675 on a calculator?

You can find the GCD of 382, 526, 189, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.