GCD of 809, 359, 987, 704 Calculator

Given Input numbers are 809, 359, 987, 704

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

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 359

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

1, 359

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

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

Greatest Common Divisior

We found the divisors of 809, 359, 987, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 809, 359, 987, 704 is 1.

Therefore, GCD of numbers 809, 359, 987, 704 is 1

Given Input Data is 809, 359, 987, 704

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

Prime Factorization of 809 is 809

Prime Factorization of 359 is 359

Prime Factorization of 987 is 3 x 7 x 47

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

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(809, 359) = 290431

GCD(809, 359) = ( 809 x 359 ) / 290431

GCD(809, 359) = 290431 / 290431

GCD(809, 359) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 987

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

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

GCD(1, 987) = 987 / 987

GCD(1, 987) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

GCD of 809, 359, 987, 704 is 1

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1. What is the GCD of 809, 359, 987, 704?

GCD of 809, 359, 987, 704 is 1

2. Where do I get the detailed procedure to find GCD of 809, 359, 987, 704?

You can find a detailed procedure to find GCD of 809, 359, 987, 704 on our page.

3. How to find GCD of 809, 359, 987, 704 on a calculator?

You can find the GCD of 809, 359, 987, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.