GCD of 735, 580, 808 Calculator

Given Input numbers are 735, 580, 808

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

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

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 735, 580, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 580, 808 is 1.

Therefore, GCD of numbers 735, 580, 808 is 1

Given Input Data is 735, 580, 808

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

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 580 is 2 x 2 x 5 x 29

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(735, 580) = 85260

GCD(735, 580) = ( 735 x 580 ) / 85260

GCD(735, 580) = 426300 / 85260

GCD(735, 580) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 808

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

LCM(5, 808) = 4040

GCD(5, 808) = ( 5 x 808 ) / 4040

GCD(5, 808) = 4040 / 4040

GCD(5, 808) = 1

GCD of 735, 580, 808 is 1

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1. What is the GCD of 735, 580, 808?

GCD of 735, 580, 808 is 1

2. Where do I get the detailed procedure to find GCD of 735, 580, 808?

You can find a detailed procedure to find GCD of 735, 580, 808 on our page.

3. How to find GCD of 735, 580, 808 on a calculator?

You can find the GCD of 735, 580, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.