GCD of 445, 908, 348, 920 Calculator

Given Input numbers are 445, 908, 348, 920

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

Divisors of 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Divisors of 908

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

1, 2, 4, 227, 454, 908

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Greatest Common Divisior

We found the divisors of 445, 908, 348, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 445, 908, 348, 920 is 1.

Therefore, GCD of numbers 445, 908, 348, 920 is 1

Given Input Data is 445, 908, 348, 920

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

Prime Factorization of 445 is 5 x 89

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

The above numbers do not have any common prime factor. So GCD is 1

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(445, 908) = 404060

GCD(445, 908) = ( 445 x 908 ) / 404060

GCD(445, 908) = 404060 / 404060

GCD(445, 908) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 348

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

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

GCD(1, 348) = 348 / 348

GCD(1, 348) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 920

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

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

GCD(1, 920) = 920 / 920

GCD(1, 920) = 1

GCD of 445, 908, 348, 920 is 1

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1. What is the GCD of 445, 908, 348, 920?

GCD of 445, 908, 348, 920 is 1

2. Where do I get the detailed procedure to find GCD of 445, 908, 348, 920?

You can find a detailed procedure to find GCD of 445, 908, 348, 920 on our page.

3. How to find GCD of 445, 908, 348, 920 on a calculator?

You can find the GCD of 445, 908, 348, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.