GCD of 42, 876, 382, 171 Calculator

Given Input numbers are 42, 876, 382, 171

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

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 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 382

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

1, 2, 191, 382

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Greatest Common Divisior

We found the divisors of 42, 876, 382, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 876, 382, 171 is 1.

Therefore, GCD of numbers 42, 876, 382, 171 is 1

Given Input Data is 42, 876, 382, 171

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 382 is 2 x 191

Prime Factorization of 171 is 3 x 3 x 19

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(42, 876) = 6132

GCD(42, 876) = ( 42 x 876 ) / 6132

GCD(42, 876) = 36792 / 6132

GCD(42, 876) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 382

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

LCM(6, 382) = 1146

GCD(6, 382) = ( 6 x 382 ) / 1146

GCD(6, 382) = 2292 / 1146

GCD(6, 382) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 171

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

LCM(2, 171) = 342

GCD(2, 171) = ( 2 x 171 ) / 342

GCD(2, 171) = 342 / 342

GCD(2, 171) = 1

GCD of 42, 876, 382, 171 is 1

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• GCD of 49, 188, 935, 897
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• GCD of 47, 243, 124, 895

1. What is the GCD of 42, 876, 382, 171?

GCD of 42, 876, 382, 171 is 1

2. Where do I get the detailed procedure to find GCD of 42, 876, 382, 171?

You can find a detailed procedure to find GCD of 42, 876, 382, 171 on our page.

3. How to find GCD of 42, 876, 382, 171 on a calculator?

You can find the GCD of 42, 876, 382, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.