GCD of 683, 809, 74, 208 Calculator

Given Input numbers are 683, 809, 74, 208

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

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Divisors of 809

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

1, 809

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Greatest Common Divisior

We found the divisors of 683, 809, 74, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 683, 809, 74, 208 is 1.

Therefore, GCD of numbers 683, 809, 74, 208 is 1

Given Input Data is 683, 809, 74, 208

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

Prime Factorization of 683 is 683

Prime Factorization of 809 is 809

Prime Factorization of 74 is 2 x 37

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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(683, 809) = 552547

GCD(683, 809) = ( 683 x 809 ) / 552547

GCD(683, 809) = 552547 / 552547

GCD(683, 809) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 208

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

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

GCD(1, 208) = 208 / 208

GCD(1, 208) = 1

GCD of 683, 809, 74, 208 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 344, 143, 28, 837
• GCD of 455, 433, 45, 141
• GCD of 196, 192, 26, 983
• GCD of 231, 216, 22, 733
• GCD of 470, 755, 30, 179

1. What is the GCD of 683, 809, 74, 208?

GCD of 683, 809, 74, 208 is 1

2. Where do I get the detailed procedure to find GCD of 683, 809, 74, 208?

You can find a detailed procedure to find GCD of 683, 809, 74, 208 on our page.

3. How to find GCD of 683, 809, 74, 208 on a calculator?

You can find the GCD of 683, 809, 74, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.