GCD of 338, 774, 282, 823 Calculator

Given Input numbers are 338, 774, 282, 823

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

Divisors of 338

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

1, 2, 13, 26, 169, 338

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 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Greatest Common Divisior

We found the divisors of 338, 774, 282, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 774, 282, 823 is 1.

Therefore, GCD of numbers 338, 774, 282, 823 is 1

Given Input Data is 338, 774, 282, 823

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

Prime Factorization of 338 is 2 x 13 x 13

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

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 823 is 823

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(338, 774) = 130806

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

GCD(338, 774) = 261612 / 130806

GCD(338, 774) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 282

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

LCM(2, 282) = 282

GCD(2, 282) = ( 2 x 282 ) / 282

GCD(2, 282) = 564 / 282

GCD(2, 282) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 823

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

LCM(2, 823) = 1646

GCD(2, 823) = ( 2 x 823 ) / 1646

GCD(2, 823) = 1646 / 1646

GCD(2, 823) = 1

GCD of 338, 774, 282, 823 is 1

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• GCD of 738, 138, 632, 469
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• GCD of 543, 994, 334, 320

1. What is the GCD of 338, 774, 282, 823?

GCD of 338, 774, 282, 823 is 1

2. Where do I get the detailed procedure to find GCD of 338, 774, 282, 823?

You can find a detailed procedure to find GCD of 338, 774, 282, 823 on our page.

3. How to find GCD of 338, 774, 282, 823 on a calculator?

You can find the GCD of 338, 774, 282, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.