GCD of 314, 329, 324, 906 Calculator

Given Input numbers are 314, 329, 324, 906

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 329

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

1, 7, 47, 329

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Greatest Common Divisior

We found the divisors of 314, 329, 324, 906 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 329, 324, 906 is 1.

Therefore, GCD of numbers 314, 329, 324, 906 is 1

Given Input Data is 314, 329, 324, 906

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 329 is 7 x 47

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 906 is 2 x 3 x 151

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, 329) = 103306

GCD(314, 329) = ( 314 x 329 ) / 103306

GCD(314, 329) = 103306 / 103306

GCD(314, 329) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 324

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

LCM(1, 324) = 324

GCD(1, 324) = ( 1 x 324 ) / 324

GCD(1, 324) = 324 / 324

GCD(1, 324) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 906

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

LCM(1, 906) = 906

GCD(1, 906) = ( 1 x 906 ) / 906

GCD(1, 906) = 906 / 906

GCD(1, 906) = 1

GCD of 314, 329, 324, 906 is 1

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1. What is the GCD of 314, 329, 324, 906?

GCD of 314, 329, 324, 906 is 1

2. Where do I get the detailed procedure to find GCD of 314, 329, 324, 906?

You can find a detailed procedure to find GCD of 314, 329, 324, 906 on our page.

3. How to find GCD of 314, 329, 324, 906 on a calculator?

You can find the GCD of 314, 329, 324, 906 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.