GCD of 854, 819, 535, 808 Calculator

Given Input numbers are 854, 819, 535, 808

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

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 535

List of positive integer divisors of 535 that divides 535 without a remainder.

1, 5, 107, 535

Divisors of 808

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

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

Greatest Common Divisior

We found the divisors of 854, 819, 535, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 819, 535, 808 is 1.

Therefore, GCD of numbers 854, 819, 535, 808 is 1

Given Input Data is 854, 819, 535, 808

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

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 535 is 5 x 107

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

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(854, 819) = 99918

GCD(854, 819) = ( 854 x 819 ) / 99918

GCD(854, 819) = 699426 / 99918

GCD(854, 819) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 535

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

LCM(7, 535) = 3745

GCD(7, 535) = ( 7 x 535 ) / 3745

GCD(7, 535) = 3745 / 3745

GCD(7, 535) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 808

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

LCM(1, 808) = 808

GCD(1, 808) = ( 1 x 808 ) / 808

GCD(1, 808) = 808 / 808

GCD(1, 808) = 1

GCD of 854, 819, 535, 808 is 1

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1. What is the GCD of 854, 819, 535, 808?

GCD of 854, 819, 535, 808 is 1

2. Where do I get the detailed procedure to find GCD of 854, 819, 535, 808?

You can find a detailed procedure to find GCD of 854, 819, 535, 808 on our page.

3. How to find GCD of 854, 819, 535, 808 on a calculator?

You can find the GCD of 854, 819, 535, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.