GCD of 184, 362, 274, 896 Calculator

Given Input numbers are 184, 362, 274, 896

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

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 274

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

1, 2, 137, 274

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Greatest Common Divisior

We found the divisors of 184, 362, 274, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 184, 362, 274, 896 is 2.

Therefore, GCD of numbers 184, 362, 274, 896 is 2

Given Input Data is 184, 362, 274, 896

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

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 362 is 2 x 181

Prime Factorization of 274 is 2 x 137

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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(184, 362) = 33304

GCD(184, 362) = ( 184 x 362 ) / 33304

GCD(184, 362) = 66608 / 33304

GCD(184, 362) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 274

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

LCM(2, 274) = 274

GCD(2, 274) = ( 2 x 274 ) / 274

GCD(2, 274) = 548 / 274

GCD(2, 274) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 896

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

LCM(2, 896) = 896

GCD(2, 896) = ( 2 x 896 ) / 896

GCD(2, 896) = 1792 / 896

GCD(2, 896) = 2

GCD of 184, 362, 274, 896 is 2

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1. What is the GCD of 184, 362, 274, 896?

GCD of 184, 362, 274, 896 is 2

2. Where do I get the detailed procedure to find GCD of 184, 362, 274, 896?

You can find a detailed procedure to find GCD of 184, 362, 274, 896 on our page.

3. How to find GCD of 184, 362, 274, 896 on a calculator?

You can find the GCD of 184, 362, 274, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.