GCD of 808, 352, 454, 823 Calculator

Given Input numbers are 808, 352, 454, 823

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

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Greatest Common Divisior

We found the divisors of 808, 352, 454, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 352, 454, 823 is 1.

Therefore, GCD of numbers 808, 352, 454, 823 is 1

Given Input Data is 808, 352, 454, 823

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

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 454 is 2 x 227

Prime Factorization of 823 is 823

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(808, 352) = 35552

GCD(808, 352) = ( 808 x 352 ) / 35552

GCD(808, 352) = 284416 / 35552

GCD(808, 352) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 454

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

LCM(8, 454) = 1816

GCD(8, 454) = ( 8 x 454 ) / 1816

GCD(8, 454) = 3632 / 1816

GCD(8, 454) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 823

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

LCM(2, 823) = 1646

GCD(2, 823) = ( 2 x 823 ) / 1646

GCD(2, 823) = 1646 / 1646

GCD(2, 823) = 1

GCD of 808, 352, 454, 823 is 1

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1. What is the GCD of 808, 352, 454, 823?

GCD of 808, 352, 454, 823 is 1

2. Where do I get the detailed procedure to find GCD of 808, 352, 454, 823?

You can find a detailed procedure to find GCD of 808, 352, 454, 823 on our page.

3. How to find GCD of 808, 352, 454, 823 on a calculator?

You can find the GCD of 808, 352, 454, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.