GCD of 274, 264, 38, 204 Calculator

Given Input numbers are 274, 264, 38, 204

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

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

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

Greatest Common Divisior

We found the divisors of 274, 264, 38, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 264, 38, 204 is 2.

Therefore, GCD of numbers 274, 264, 38, 204 is 2

Given Input Data is 274, 264, 38, 204

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 38 is 2 x 19

Prime Factorization of 204 is 2 x 2 x 3 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(274, 264) = 36168

GCD(274, 264) = ( 274 x 264 ) / 36168

GCD(274, 264) = 72336 / 36168

GCD(274, 264) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 38

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

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

GCD(2, 38) = 76 / 38

GCD(2, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 204

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

LCM(2, 204) = 204

GCD(2, 204) = ( 2 x 204 ) / 204

GCD(2, 204) = 408 / 204

GCD(2, 204) = 2

GCD of 274, 264, 38, 204 is 2

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• GCD of 957, 745, 30, 859
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1. What is the GCD of 274, 264, 38, 204?

GCD of 274, 264, 38, 204 is 2

2. Where do I get the detailed procedure to find GCD of 274, 264, 38, 204?

You can find a detailed procedure to find GCD of 274, 264, 38, 204 on our page.

3. How to find GCD of 274, 264, 38, 204 on a calculator?

You can find the GCD of 274, 264, 38, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.