GCD of 102, 936, 49, 382 Calculator

Given Input numbers are 102, 936, 49, 382

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

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 382

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

1, 2, 191, 382

Greatest Common Divisior

We found the divisors of 102, 936, 49, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 936, 49, 382 is 1.

Therefore, GCD of numbers 102, 936, 49, 382 is 1

Given Input Data is 102, 936, 49, 382

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

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 49 is 7 x 7

Prime Factorization of 382 is 2 x 191

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(102, 936) = 15912

GCD(102, 936) = ( 102 x 936 ) / 15912

GCD(102, 936) = 95472 / 15912

GCD(102, 936) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 49

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

LCM(6, 49) = 294

GCD(6, 49) = ( 6 x 49 ) / 294

GCD(6, 49) = 294 / 294

GCD(6, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 382

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

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

GCD(1, 382) = 382 / 382

GCD(1, 382) = 1

GCD of 102, 936, 49, 382 is 1

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1. What is the GCD of 102, 936, 49, 382?

GCD of 102, 936, 49, 382 is 1

2. Where do I get the detailed procedure to find GCD of 102, 936, 49, 382?

You can find a detailed procedure to find GCD of 102, 936, 49, 382 on our page.

3. How to find GCD of 102, 936, 49, 382 on a calculator?

You can find the GCD of 102, 936, 49, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.