GCD of 512, 334, 82, 774 Calculator

Given Input numbers are 512, 334, 82, 774

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

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

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

Greatest Common Divisior

We found the divisors of 512, 334, 82, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 334, 82, 774 is 2.

Therefore, GCD of numbers 512, 334, 82, 774 is 2

Given Input Data is 512, 334, 82, 774

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

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 334 is 2 x 167

Prime Factorization of 82 is 2 x 41

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

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(512, 334) = 85504

GCD(512, 334) = ( 512 x 334 ) / 85504

GCD(512, 334) = 171008 / 85504

GCD(512, 334) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 82

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

LCM(2, 82) = 82

GCD(2, 82) = ( 2 x 82 ) / 82

GCD(2, 82) = 164 / 82

GCD(2, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 774

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

LCM(2, 774) = 774

GCD(2, 774) = ( 2 x 774 ) / 774

GCD(2, 774) = 1548 / 774

GCD(2, 774) = 2

GCD of 512, 334, 82, 774 is 2

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1. What is the GCD of 512, 334, 82, 774?

GCD of 512, 334, 82, 774 is 2

2. Where do I get the detailed procedure to find GCD of 512, 334, 82, 774?

You can find a detailed procedure to find GCD of 512, 334, 82, 774 on our page.

3. How to find GCD of 512, 334, 82, 774 on a calculator?

You can find the GCD of 512, 334, 82, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.