GCD of 229, 808, 54, 690 Calculator

Given Input numbers are 229, 808, 54, 690

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

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 808

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

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

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

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

Greatest Common Divisior

We found the divisors of 229, 808, 54, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 229, 808, 54, 690 is 1.

Therefore, GCD of numbers 229, 808, 54, 690 is 1

Given Input Data is 229, 808, 54, 690

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

Prime Factorization of 229 is 229

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

Prime Factorization of 54 is 2 x 3 x 3 x 3

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

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(229, 808) = 185032

GCD(229, 808) = ( 229 x 808 ) / 185032

GCD(229, 808) = 185032 / 185032

GCD(229, 808) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

GCD of 229, 808, 54, 690 is 1

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1. What is the GCD of 229, 808, 54, 690?

GCD of 229, 808, 54, 690 is 1

2. Where do I get the detailed procedure to find GCD of 229, 808, 54, 690?

You can find a detailed procedure to find GCD of 229, 808, 54, 690 on our page.

3. How to find GCD of 229, 808, 54, 690 on a calculator?

You can find the GCD of 229, 808, 54, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.