GCD of 604, 306, 76, 742 Calculator

Given Input numbers are 604, 306, 76, 742

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 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 76

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

1, 2, 4, 19, 38, 76

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 604, 306, 76, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 604, 306, 76, 742 is 2.

Therefore, GCD of numbers 604, 306, 76, 742 is 2

Given Input Data is 604, 306, 76, 742

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 306 is 2 x 3 x 3 x 17

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 742 is 2 x 7 x 53

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, 306) = 92412

GCD(604, 306) = ( 604 x 306 ) / 92412

GCD(604, 306) = 184824 / 92412

GCD(604, 306) = 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 742

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

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

GCD(2, 742) = 1484 / 742

GCD(2, 742) = 2

GCD of 604, 306, 76, 742 is 2

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1. What is the GCD of 604, 306, 76, 742?

GCD of 604, 306, 76, 742 is 2

2. Where do I get the detailed procedure to find GCD of 604, 306, 76, 742?

You can find a detailed procedure to find GCD of 604, 306, 76, 742 on our page.

3. How to find GCD of 604, 306, 76, 742 on a calculator?

You can find the GCD of 604, 306, 76, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.