GCD of 382, 842, 874, 738 Calculator

Given Input numbers are 382, 842, 874, 738

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 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 382, 842, 874, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 842, 874, 738 is 2.

Therefore, GCD of numbers 382, 842, 874, 738 is 2

Given Input Data is 382, 842, 874, 738

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

Prime Factorization of 382 is 2 x 191

Prime Factorization of 842 is 2 x 421

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 738 is 2 x 3 x 3 x 41

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 842) = 160822

GCD(382, 842) = ( 382 x 842 ) / 160822

GCD(382, 842) = 321644 / 160822

GCD(382, 842) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 874

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

LCM(2, 874) = 874

GCD(2, 874) = ( 2 x 874 ) / 874

GCD(2, 874) = 1748 / 874

GCD(2, 874) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 738

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

LCM(2, 738) = 738

GCD(2, 738) = ( 2 x 738 ) / 738

GCD(2, 738) = 1476 / 738

GCD(2, 738) = 2

GCD of 382, 842, 874, 738 is 2

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1. What is the GCD of 382, 842, 874, 738?

GCD of 382, 842, 874, 738 is 2

2. Where do I get the detailed procedure to find GCD of 382, 842, 874, 738?

You can find a detailed procedure to find GCD of 382, 842, 874, 738 on our page.

3. How to find GCD of 382, 842, 874, 738 on a calculator?

You can find the GCD of 382, 842, 874, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.