GCD of 604, 194, 602, 678 Calculator

Given Input numbers are 604, 194, 602, 678

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

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Greatest Common Divisior

We found the divisors of 604, 194, 602, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 604, 194, 602, 678 is 2.

Therefore, GCD of numbers 604, 194, 602, 678 is 2

Given Input Data is 604, 194, 602, 678

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

Prime Factorization of 604 is 2 x 2 x 151

Prime Factorization of 194 is 2 x 97

Prime Factorization of 602 is 2 x 7 x 43

Prime Factorization of 678 is 2 x 3 x 113

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(604, 194) = 58588

GCD(604, 194) = ( 604 x 194 ) / 58588

GCD(604, 194) = 117176 / 58588

GCD(604, 194) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 602

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

LCM(2, 602) = 602

GCD(2, 602) = ( 2 x 602 ) / 602

GCD(2, 602) = 1204 / 602

GCD(2, 602) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 678

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

LCM(2, 678) = 678

GCD(2, 678) = ( 2 x 678 ) / 678

GCD(2, 678) = 1356 / 678

GCD(2, 678) = 2

GCD of 604, 194, 602, 678 is 2

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1. What is the GCD of 604, 194, 602, 678?

GCD of 604, 194, 602, 678 is 2

2. Where do I get the detailed procedure to find GCD of 604, 194, 602, 678?

You can find a detailed procedure to find GCD of 604, 194, 602, 678 on our page.

3. How to find GCD of 604, 194, 602, 678 on a calculator?

You can find the GCD of 604, 194, 602, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.