GCD of 908, 346, 448 Calculator

Given Input numbers are 908, 346, 448

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 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

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 908, 346, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 908, 346, 448 is 2.

Therefore, GCD of numbers 908, 346, 448 is 2

Given Input Data is 908, 346, 448

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 346 is 2 x 173

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(908, 346) = 157084

GCD(908, 346) = ( 908 x 346 ) / 157084

GCD(908, 346) = 314168 / 157084

GCD(908, 346) = 2

Step2:

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 908, 346, 448 is 2

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1. What is the GCD of 908, 346, 448?

GCD of 908, 346, 448 is 2

2. Where do I get the detailed procedure to find GCD of 908, 346, 448?

You can find a detailed procedure to find GCD of 908, 346, 448 on our page.

3. How to find GCD of 908, 346, 448 on a calculator?

You can find the GCD of 908, 346, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.