GCD of 908, 768, 92, 466 Calculator

Given Input numbers are 908, 768, 92, 466

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

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Greatest Common Divisior

We found the divisors of 908, 768, 92, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 908, 768, 92, 466 is 2.

Therefore, GCD of numbers 908, 768, 92, 466 is 2

Given Input Data is 908, 768, 92, 466

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

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 466 is 2 x 233

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(908, 768) = 174336

GCD(908, 768) = ( 908 x 768 ) / 174336

GCD(908, 768) = 697344 / 174336

GCD(908, 768) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 92

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

LCM(4, 92) = 92

GCD(4, 92) = ( 4 x 92 ) / 92

GCD(4, 92) = 368 / 92

GCD(4, 92) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 466

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

LCM(4, 466) = 932

GCD(4, 466) = ( 4 x 466 ) / 932

GCD(4, 466) = 1864 / 932

GCD(4, 466) = 2

GCD of 908, 768, 92, 466 is 2

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1. What is the GCD of 908, 768, 92, 466?

GCD of 908, 768, 92, 466 is 2

2. Where do I get the detailed procedure to find GCD of 908, 768, 92, 466?

You can find a detailed procedure to find GCD of 908, 768, 92, 466 on our page.

3. How to find GCD of 908, 768, 92, 466 on a calculator?

You can find the GCD of 908, 768, 92, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.