GCD of 204, 276, 74, 452 Calculator

Given Input numbers are 204, 276, 74, 452

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

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Greatest Common Divisior

We found the divisors of 204, 276, 74, 452 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 276, 74, 452 is 2.

Therefore, GCD of numbers 204, 276, 74, 452 is 2

Given Input Data is 204, 276, 74, 452

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

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 74 is 2 x 37

Prime Factorization of 452 is 2 x 2 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(204, 276) = 4692

GCD(204, 276) = ( 204 x 276 ) / 4692

GCD(204, 276) = 56304 / 4692

GCD(204, 276) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 74

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

LCM(12, 74) = 444

GCD(12, 74) = ( 12 x 74 ) / 444

GCD(12, 74) = 888 / 444

GCD(12, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 452

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

LCM(2, 452) = 452

GCD(2, 452) = ( 2 x 452 ) / 452

GCD(2, 452) = 904 / 452

GCD(2, 452) = 2

GCD of 204, 276, 74, 452 is 2

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1. What is the GCD of 204, 276, 74, 452?

GCD of 204, 276, 74, 452 is 2

2. Where do I get the detailed procedure to find GCD of 204, 276, 74, 452?

You can find a detailed procedure to find GCD of 204, 276, 74, 452 on our page.

3. How to find GCD of 204, 276, 74, 452 on a calculator?

You can find the GCD of 204, 276, 74, 452 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.