GCD of 578, 304, 676, 674 Calculator

Given Input numbers are 578, 304, 676, 674

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

Divisors of 578

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

1, 2, 17, 34, 289, 578

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 578, 304, 676, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 578, 304, 676, 674 is 2.

Therefore, GCD of numbers 578, 304, 676, 674 is 2

Given Input Data is 578, 304, 676, 674

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

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 674 is 2 x 337

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(578, 304) = 87856

GCD(578, 304) = ( 578 x 304 ) / 87856

GCD(578, 304) = 175712 / 87856

GCD(578, 304) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 676

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

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

GCD(2, 676) = 1352 / 676

GCD(2, 676) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 674

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

LCM(2, 674) = 674

GCD(2, 674) = ( 2 x 674 ) / 674

GCD(2, 674) = 1348 / 674

GCD(2, 674) = 2

GCD of 578, 304, 676, 674 is 2

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1. What is the GCD of 578, 304, 676, 674?

GCD of 578, 304, 676, 674 is 2

2. Where do I get the detailed procedure to find GCD of 578, 304, 676, 674?

You can find a detailed procedure to find GCD of 578, 304, 676, 674 on our page.

3. How to find GCD of 578, 304, 676, 674 on a calculator?

You can find the GCD of 578, 304, 676, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.