GCD of 381, 734, 361, 289 Calculator

Given Input numbers are 381, 734, 361, 289

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 734

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

1, 2, 367, 734

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Greatest Common Divisior

We found the divisors of 381, 734, 361, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 734, 361, 289 is 1.

Therefore, GCD of numbers 381, 734, 361, 289 is 1

Given Input Data is 381, 734, 361, 289

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 734 is 2 x 367

Prime Factorization of 361 is 19 x 19

Prime Factorization of 289 is 17 x 17

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, 734) = 279654

GCD(381, 734) = ( 381 x 734 ) / 279654

GCD(381, 734) = 279654 / 279654

GCD(381, 734) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

GCD of 381, 734, 361, 289 is 1

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1. What is the GCD of 381, 734, 361, 289?

GCD of 381, 734, 361, 289 is 1

2. Where do I get the detailed procedure to find GCD of 381, 734, 361, 289?

You can find a detailed procedure to find GCD of 381, 734, 361, 289 on our page.

3. How to find GCD of 381, 734, 361, 289 on a calculator?

You can find the GCD of 381, 734, 361, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.