GCD of 817, 779, 400, 338 Calculator

Given Input numbers are 817, 779, 400, 338

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

Divisors of 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 817, 779, 400, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 817, 779, 400, 338 is 1.

Therefore, GCD of numbers 817, 779, 400, 338 is 1

Given Input Data is 817, 779, 400, 338

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

Prime Factorization of 817 is 19 x 43

Prime Factorization of 779 is 19 x 41

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 338 is 2 x 13 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(817, 779) = 33497

GCD(817, 779) = ( 817 x 779 ) / 33497

GCD(817, 779) = 636443 / 33497

GCD(817, 779) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 400

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

LCM(19, 400) = 7600

GCD(19, 400) = ( 19 x 400 ) / 7600

GCD(19, 400) = 7600 / 7600

GCD(19, 400) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 817, 779, 400, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 904, 892, 236, 376
• GCD of 730, 244, 104, 971
• GCD of 711, 922, 464, 284
• GCD of 937, 226, 373, 349
• GCD of 238, 176, 709, 209

1. What is the GCD of 817, 779, 400, 338?

GCD of 817, 779, 400, 338 is 1

2. Where do I get the detailed procedure to find GCD of 817, 779, 400, 338?

You can find a detailed procedure to find GCD of 817, 779, 400, 338 on our page.

3. How to find GCD of 817, 779, 400, 338 on a calculator?

You can find the GCD of 817, 779, 400, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.