GCD of 774, 338, 221, 338 Calculator

Given Input numbers are 774, 338, 221, 338

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

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 338

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

1, 2, 13, 26, 169, 338

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

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 774, 338, 221, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 338, 221, 338 is 1.

Therefore, GCD of numbers 774, 338, 221, 338 is 1

Given Input Data is 774, 338, 221, 338

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

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 221 is 13 x 17

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(774, 338) = 130806

GCD(774, 338) = ( 774 x 338 ) / 130806

GCD(774, 338) = 261612 / 130806

GCD(774, 338) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 221

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

LCM(2, 221) = 442

GCD(2, 221) = ( 2 x 221 ) / 442

GCD(2, 221) = 442 / 442

GCD(2, 221) = 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 774, 338, 221, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 157, 126, 232, 885
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• GCD of 289, 370, 739, 997
• GCD of 219, 348, 903, 403

1. What is the GCD of 774, 338, 221, 338?

GCD of 774, 338, 221, 338 is 1

2. Where do I get the detailed procedure to find GCD of 774, 338, 221, 338?

You can find a detailed procedure to find GCD of 774, 338, 221, 338 on our page.

3. How to find GCD of 774, 338, 221, 338 on a calculator?

You can find the GCD of 774, 338, 221, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.