GCD of 471, 294, 574, 329 Calculator

Given Input numbers are 471, 294, 574, 329

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

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 329

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

1, 7, 47, 329

Greatest Common Divisior

We found the divisors of 471, 294, 574, 329 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 471, 294, 574, 329 is 1.

Therefore, GCD of numbers 471, 294, 574, 329 is 1

Given Input Data is 471, 294, 574, 329

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

Prime Factorization of 471 is 3 x 157

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 329 is 7 x 47

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(471, 294) = 46158

GCD(471, 294) = ( 471 x 294 ) / 46158

GCD(471, 294) = 138474 / 46158

GCD(471, 294) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 574

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

LCM(3, 574) = 1722

GCD(3, 574) = ( 3 x 574 ) / 1722

GCD(3, 574) = 1722 / 1722

GCD(3, 574) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 329

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

LCM(1, 329) = 329

GCD(1, 329) = ( 1 x 329 ) / 329

GCD(1, 329) = 329 / 329

GCD(1, 329) = 1

GCD of 471, 294, 574, 329 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 903, 523, 574, 181
• GCD of 501, 371, 361, 899
• GCD of 809, 394, 442, 413
• GCD of 676, 839, 860, 992
• GCD of 428, 128, 535, 400

1. What is the GCD of 471, 294, 574, 329?

GCD of 471, 294, 574, 329 is 1

2. Where do I get the detailed procedure to find GCD of 471, 294, 574, 329?

You can find a detailed procedure to find GCD of 471, 294, 574, 329 on our page.

3. How to find GCD of 471, 294, 574, 329 on a calculator?

You can find the GCD of 471, 294, 574, 329 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.