GCD of 274, 272, 56, 444 Calculator

Given Input numbers are 274, 272, 56, 444

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 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Greatest Common Divisior

We found the divisors of 274, 272, 56, 444 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 272, 56, 444 is 2.

Therefore, GCD of numbers 274, 272, 56, 444 is 2

Given Input Data is 274, 272, 56, 444

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 444 is 2 x 2 x 3 x 37

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, 272) = 37264

GCD(274, 272) = ( 274 x 272 ) / 37264

GCD(274, 272) = 74528 / 37264

GCD(274, 272) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 56

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

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

GCD(2, 56) = 112 / 56

GCD(2, 56) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 444

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

LCM(2, 444) = 444

GCD(2, 444) = ( 2 x 444 ) / 444

GCD(2, 444) = 888 / 444

GCD(2, 444) = 2

GCD of 274, 272, 56, 444 is 2

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1. What is the GCD of 274, 272, 56, 444?

GCD of 274, 272, 56, 444 is 2

2. Where do I get the detailed procedure to find GCD of 274, 272, 56, 444?

You can find a detailed procedure to find GCD of 274, 272, 56, 444 on our page.

3. How to find GCD of 274, 272, 56, 444 on a calculator?

You can find the GCD of 274, 272, 56, 444 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.