GCD of 342, 774, 50, 884 Calculator

Given Input numbers are 342, 774, 50, 884

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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Greatest Common Divisior

We found the divisors of 342, 774, 50, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 774, 50, 884 is 2.

Therefore, GCD of numbers 342, 774, 50, 884 is 2

Given Input Data is 342, 774, 50, 884

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 884 is 2 x 2 x 13 x 17

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(342, 774) = 14706

GCD(342, 774) = ( 342 x 774 ) / 14706

GCD(342, 774) = 264708 / 14706

GCD(342, 774) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 50

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

LCM(18, 50) = 450

GCD(18, 50) = ( 18 x 50 ) / 450

GCD(18, 50) = 900 / 450

GCD(18, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 884

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

LCM(2, 884) = 884

GCD(2, 884) = ( 2 x 884 ) / 884

GCD(2, 884) = 1768 / 884

GCD(2, 884) = 2

GCD of 342, 774, 50, 884 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 571, 167, 44, 304
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• GCD of 390, 719, 24, 510
• GCD of 774, 536, 45, 283

1. What is the GCD of 342, 774, 50, 884?

GCD of 342, 774, 50, 884 is 2

2. Where do I get the detailed procedure to find GCD of 342, 774, 50, 884?

You can find a detailed procedure to find GCD of 342, 774, 50, 884 on our page.

3. How to find GCD of 342, 774, 50, 884 on a calculator?

You can find the GCD of 342, 774, 50, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.