GCD of 334, 408, 76, 578 Calculator

Given Input numbers are 334, 408, 76, 578

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

Divisors of 334

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

1, 2, 167, 334

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Greatest Common Divisior

We found the divisors of 334, 408, 76, 578 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 334, 408, 76, 578 is 2.

Therefore, GCD of numbers 334, 408, 76, 578 is 2

Given Input Data is 334, 408, 76, 578

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

Prime Factorization of 334 is 2 x 167

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 578 is 2 x 17 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(334, 408) = 68136

GCD(334, 408) = ( 334 x 408 ) / 68136

GCD(334, 408) = 136272 / 68136

GCD(334, 408) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 76

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

LCM(2, 76) = 76

GCD(2, 76) = ( 2 x 76 ) / 76

GCD(2, 76) = 152 / 76

GCD(2, 76) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 578

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

LCM(2, 578) = 578

GCD(2, 578) = ( 2 x 578 ) / 578

GCD(2, 578) = 1156 / 578

GCD(2, 578) = 2

GCD of 334, 408, 76, 578 is 2

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1. What is the GCD of 334, 408, 76, 578?

GCD of 334, 408, 76, 578 is 2

2. Where do I get the detailed procedure to find GCD of 334, 408, 76, 578?

You can find a detailed procedure to find GCD of 334, 408, 76, 578 on our page.

3. How to find GCD of 334, 408, 76, 578 on a calculator?

You can find the GCD of 334, 408, 76, 578 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.