GCD of 382, 164, 42, 841 Calculator

Given Input numbers are 382, 164, 42, 841

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 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 841

List of positive integer divisors of 841 that divides 841 without a remainder.

1, 29, 841

Greatest Common Divisior

We found the divisors of 382, 164, 42, 841 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 164, 42, 841 is 1.

Therefore, GCD of numbers 382, 164, 42, 841 is 1

Given Input Data is 382, 164, 42, 841

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

Prime Factorization of 382 is 2 x 191

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 841 is 29 x 29

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, 164) = 31324

GCD(382, 164) = ( 382 x 164 ) / 31324

GCD(382, 164) = 62648 / 31324

GCD(382, 164) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 841

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

LCM(2, 841) = 1682

GCD(2, 841) = ( 2 x 841 ) / 1682

GCD(2, 841) = 1682 / 1682

GCD(2, 841) = 1

GCD of 382, 164, 42, 841 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 189, 632, 15, 841
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• GCD of 360, 533, 97, 322
• GCD of 181, 192, 71, 628
• GCD of 492, 780, 60, 979

1. What is the GCD of 382, 164, 42, 841?

GCD of 382, 164, 42, 841 is 1

2. Where do I get the detailed procedure to find GCD of 382, 164, 42, 841?

You can find a detailed procedure to find GCD of 382, 164, 42, 841 on our page.

3. How to find GCD of 382, 164, 42, 841 on a calculator?

You can find the GCD of 382, 164, 42, 841 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.