GCD of 272, 884, 484, 428 Calculator

Given Input numbers are 272, 884, 484, 428

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

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 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Greatest Common Divisior

We found the divisors of 272, 884, 484, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 884, 484, 428 is 4.

Therefore, GCD of numbers 272, 884, 484, 428 is 4

Given Input Data is 272, 884, 484, 428

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

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

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 428 is 2 x 2 x 107

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(272, 884) = 3536

GCD(272, 884) = ( 272 x 884 ) / 3536

GCD(272, 884) = 240448 / 3536

GCD(272, 884) = 68

Step2:

Here we consider the GCD from the above i.e. 68 as first number and the next as 484

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

LCM(68, 484) = 8228

GCD(68, 484) = ( 68 x 484 ) / 8228

GCD(68, 484) = 32912 / 8228

GCD(68, 484) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 428

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

LCM(4, 428) = 428

GCD(4, 428) = ( 4 x 428 ) / 428

GCD(4, 428) = 1712 / 428

GCD(4, 428) = 4

GCD of 272, 884, 484, 428 is 4

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• GCD of 171, 740, 371, 809
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1. What is the GCD of 272, 884, 484, 428?

GCD of 272, 884, 484, 428 is 4

2. Where do I get the detailed procedure to find GCD of 272, 884, 484, 428?

You can find a detailed procedure to find GCD of 272, 884, 484, 428 on our page.

3. How to find GCD of 272, 884, 484, 428 on a calculator?

You can find the GCD of 272, 884, 484, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.