GCD of 381, 729, 682, 874 Calculator

Given Input numbers are 381, 729, 682, 874

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

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Greatest Common Divisior

We found the divisors of 381, 729, 682, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 729, 682, 874 is 1.

Therefore, GCD of numbers 381, 729, 682, 874 is 1

Given Input Data is 381, 729, 682, 874

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 874 is 2 x 19 x 23

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(381, 729) = 92583

GCD(381, 729) = ( 381 x 729 ) / 92583

GCD(381, 729) = 277749 / 92583

GCD(381, 729) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 682

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

LCM(3, 682) = 2046

GCD(3, 682) = ( 3 x 682 ) / 2046

GCD(3, 682) = 2046 / 2046

GCD(3, 682) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 874

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

LCM(1, 874) = 874

GCD(1, 874) = ( 1 x 874 ) / 874

GCD(1, 874) = 874 / 874

GCD(1, 874) = 1

GCD of 381, 729, 682, 874 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 235, 144, 771, 551
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• GCD of 698, 110, 122, 798

1. What is the GCD of 381, 729, 682, 874?

GCD of 381, 729, 682, 874 is 1

2. Where do I get the detailed procedure to find GCD of 381, 729, 682, 874?

You can find a detailed procedure to find GCD of 381, 729, 682, 874 on our page.

3. How to find GCD of 381, 729, 682, 874 on a calculator?

You can find the GCD of 381, 729, 682, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.