GCD of 314, 359, 361 Calculator

Given Input numbers are 314, 359, 361

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

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 361

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

1, 19, 361

Greatest Common Divisior

We found the divisors of 314, 359, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 359, 361 is 1.

Therefore, GCD of numbers 314, 359, 361 is 1

Given Input Data is 314, 359, 361

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 359 is 359

Prime Factorization of 361 is 19 x 19

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(314, 359) = 112726

GCD(314, 359) = ( 314 x 359 ) / 112726

GCD(314, 359) = 112726 / 112726

GCD(314, 359) = 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

GCD of 314, 359, 361 is 1

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1. What is the GCD of 314, 359, 361?

GCD of 314, 359, 361 is 1

2. Where do I get the detailed procedure to find GCD of 314, 359, 361?

You can find a detailed procedure to find GCD of 314, 359, 361 on our page.

3. How to find GCD of 314, 359, 361 on a calculator?

You can find the GCD of 314, 359, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.