GCD of 774, 298, 34, 592 Calculator

Given Input numbers are 774, 298, 34, 592

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

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 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Greatest Common Divisior

We found the divisors of 774, 298, 34, 592 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 298, 34, 592 is 2.

Therefore, GCD of numbers 774, 298, 34, 592 is 2

Given Input Data is 774, 298, 34, 592

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

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 34 is 2 x 17

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

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(774, 298) = 115326

GCD(774, 298) = ( 774 x 298 ) / 115326

GCD(774, 298) = 230652 / 115326

GCD(774, 298) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 34

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

LCM(2, 34) = 34

GCD(2, 34) = ( 2 x 34 ) / 34

GCD(2, 34) = 68 / 34

GCD(2, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 592

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

LCM(2, 592) = 592

GCD(2, 592) = ( 2 x 592 ) / 592

GCD(2, 592) = 1184 / 592

GCD(2, 592) = 2

GCD of 774, 298, 34, 592 is 2

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1. What is the GCD of 774, 298, 34, 592?

GCD of 774, 298, 34, 592 is 2

2. Where do I get the detailed procedure to find GCD of 774, 298, 34, 592?

You can find a detailed procedure to find GCD of 774, 298, 34, 592 on our page.

3. How to find GCD of 774, 298, 34, 592 on a calculator?

You can find the GCD of 774, 298, 34, 592 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.