GCD of 914, 418, 329, 239 Calculator

Given Input numbers are 914, 418, 329, 239

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

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Divisors of 239

List of positive integer divisors of 239 that divides 239 without a remainder.

1, 239

Greatest Common Divisior

We found the divisors of 914, 418, 329, 239 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 418, 329, 239 is 1.

Therefore, GCD of numbers 914, 418, 329, 239 is 1

Given Input Data is 914, 418, 329, 239

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

Prime Factorization of 914 is 2 x 457

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 329 is 7 x 47

Prime Factorization of 239 is 239

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(914, 418) = 191026

GCD(914, 418) = ( 914 x 418 ) / 191026

GCD(914, 418) = 382052 / 191026

GCD(914, 418) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 329

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

LCM(2, 329) = 658

GCD(2, 329) = ( 2 x 329 ) / 658

GCD(2, 329) = 658 / 658

GCD(2, 329) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 239

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

LCM(1, 239) = 239

GCD(1, 239) = ( 1 x 239 ) / 239

GCD(1, 239) = 239 / 239

GCD(1, 239) = 1

GCD of 914, 418, 329, 239 is 1

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1. What is the GCD of 914, 418, 329, 239?

GCD of 914, 418, 329, 239 is 1

2. Where do I get the detailed procedure to find GCD of 914, 418, 329, 239?

You can find a detailed procedure to find GCD of 914, 418, 329, 239 on our page.

3. How to find GCD of 914, 418, 329, 239 on a calculator?

You can find the GCD of 914, 418, 329, 239 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.