GCD of 338, 366, 734, 861 Calculator

Given Input numbers are 338, 366, 734, 861

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 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Greatest Common Divisior

We found the divisors of 338, 366, 734, 861 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 366, 734, 861 is 1.

Therefore, GCD of numbers 338, 366, 734, 861 is 1

Given Input Data is 338, 366, 734, 861

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 366 is 2 x 3 x 61

Prime Factorization of 734 is 2 x 367

Prime Factorization of 861 is 3 x 7 x 41

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, 366) = 61854

GCD(338, 366) = ( 338 x 366 ) / 61854

GCD(338, 366) = 123708 / 61854

GCD(338, 366) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 734

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

LCM(2, 734) = 734

GCD(2, 734) = ( 2 x 734 ) / 734

GCD(2, 734) = 1468 / 734

GCD(2, 734) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 861

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

LCM(2, 861) = 1722

GCD(2, 861) = ( 2 x 861 ) / 1722

GCD(2, 861) = 1722 / 1722

GCD(2, 861) = 1

GCD of 338, 366, 734, 861 is 1

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1. What is the GCD of 338, 366, 734, 861?

GCD of 338, 366, 734, 861 is 1

2. Where do I get the detailed procedure to find GCD of 338, 366, 734, 861?

You can find a detailed procedure to find GCD of 338, 366, 734, 861 on our page.

3. How to find GCD of 338, 366, 734, 861 on a calculator?

You can find the GCD of 338, 366, 734, 861 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.