GCD of 214, 884, 916, 448 Calculator

Given Input numbers are 214, 884, 916, 448

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

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

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 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

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

Greatest Common Divisior

We found the divisors of 214, 884, 916, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 884, 916, 448 is 2.

Therefore, GCD of numbers 214, 884, 916, 448 is 2

Given Input Data is 214, 884, 916, 448

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

Prime Factorization of 214 is 2 x 107

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

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 448 is 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(214, 884) = 94588

GCD(214, 884) = ( 214 x 884 ) / 94588

GCD(214, 884) = 189176 / 94588

GCD(214, 884) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 916

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

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

GCD(2, 916) = 1832 / 916

GCD(2, 916) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 448

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

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

GCD(2, 448) = 896 / 448

GCD(2, 448) = 2

GCD of 214, 884, 916, 448 is 2

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1. What is the GCD of 214, 884, 916, 448?

GCD of 214, 884, 916, 448 is 2

2. Where do I get the detailed procedure to find GCD of 214, 884, 916, 448?

You can find a detailed procedure to find GCD of 214, 884, 916, 448 on our page.

3. How to find GCD of 214, 884, 916, 448 on a calculator?

You can find the GCD of 214, 884, 916, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.