GCD of 359, 704, 40, 808 Calculator

Given Input numbers are 359, 704, 40, 808

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

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

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 359, 704, 40, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 359, 704, 40, 808 is 1.

Therefore, GCD of numbers 359, 704, 40, 808 is 1

Given Input Data is 359, 704, 40, 808

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

Prime Factorization of 359 is 359

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 40 is 2 x 2 x 2 x 5

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(359, 704) = 252736

GCD(359, 704) = ( 359 x 704 ) / 252736

GCD(359, 704) = 252736 / 252736

GCD(359, 704) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 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 359, 704, 40, 808 is 1

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1. What is the GCD of 359, 704, 40, 808?

GCD of 359, 704, 40, 808 is 1

2. Where do I get the detailed procedure to find GCD of 359, 704, 40, 808?

You can find a detailed procedure to find GCD of 359, 704, 40, 808 on our page.

3. How to find GCD of 359, 704, 40, 808 on a calculator?

You can find the GCD of 359, 704, 40, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.