GCD of 690, 361, 390, 808 Calculator

Given Input numbers are 690, 361, 390, 808

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

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

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 690, 361, 390, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 361, 390, 808 is 1.

Therefore, GCD of numbers 690, 361, 390, 808 is 1

Given Input Data is 690, 361, 390, 808

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

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 361 is 19 x 19

Prime Factorization of 390 is 2 x 3 x 5 x 13

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(690, 361) = 249090

GCD(690, 361) = ( 690 x 361 ) / 249090

GCD(690, 361) = 249090 / 249090

GCD(690, 361) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 390

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

LCM(1, 390) = 390

GCD(1, 390) = ( 1 x 390 ) / 390

GCD(1, 390) = 390 / 390

GCD(1, 390) = 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 690, 361, 390, 808 is 1

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1. What is the GCD of 690, 361, 390, 808?

GCD of 690, 361, 390, 808 is 1

2. Where do I get the detailed procedure to find GCD of 690, 361, 390, 808?

You can find a detailed procedure to find GCD of 690, 361, 390, 808 on our page.

3. How to find GCD of 690, 361, 390, 808 on a calculator?

You can find the GCD of 690, 361, 390, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.