GCD of 809, 414, 56, 250 Calculator

Given Input numbers are 809, 414, 56, 250

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 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Greatest Common Divisior

We found the divisors of 809, 414, 56, 250 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 809, 414, 56, 250 is 1.

Therefore, GCD of numbers 809, 414, 56, 250 is 1

Given Input Data is 809, 414, 56, 250

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

Prime Factorization of 809 is 809

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 250 is 2 x 5 x 5 x 5

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, 414) = 334926

GCD(809, 414) = ( 809 x 414 ) / 334926

GCD(809, 414) = 334926 / 334926

GCD(809, 414) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 250

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

LCM(1, 250) = 250

GCD(1, 250) = ( 1 x 250 ) / 250

GCD(1, 250) = 250 / 250

GCD(1, 250) = 1

GCD of 809, 414, 56, 250 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 289, 336, 95, 791
• GCD of 920, 434, 80, 681
• GCD of 519, 562, 15, 259
• GCD of 109, 982, 71, 298
• GCD of 125, 876, 19, 155

1. What is the GCD of 809, 414, 56, 250?

GCD of 809, 414, 56, 250 is 1

2. Where do I get the detailed procedure to find GCD of 809, 414, 56, 250?

You can find a detailed procedure to find GCD of 809, 414, 56, 250 on our page.

3. How to find GCD of 809, 414, 56, 250 on a calculator?

You can find the GCD of 809, 414, 56, 250 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.