GCD of 294, 129, 311, 470 Calculator

Given Input numbers are 294, 129, 311, 470

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

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 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Greatest Common Divisior

We found the divisors of 294, 129, 311, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 129, 311, 470 is 1.

Therefore, GCD of numbers 294, 129, 311, 470 is 1

Given Input Data is 294, 129, 311, 470

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

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

Prime Factorization of 129 is 3 x 43

Prime Factorization of 311 is 311

Prime Factorization of 470 is 2 x 5 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(294, 129) = 12642

GCD(294, 129) = ( 294 x 129 ) / 12642

GCD(294, 129) = 37926 / 12642

GCD(294, 129) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 311

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

LCM(3, 311) = 933

GCD(3, 311) = ( 3 x 311 ) / 933

GCD(3, 311) = 933 / 933

GCD(3, 311) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 470

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

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

GCD(1, 470) = 470 / 470

GCD(1, 470) = 1

GCD of 294, 129, 311, 470 is 1

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• GCD of 406, 267, 349, 856
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1. What is the GCD of 294, 129, 311, 470?

GCD of 294, 129, 311, 470 is 1

2. Where do I get the detailed procedure to find GCD of 294, 129, 311, 470?

You can find a detailed procedure to find GCD of 294, 129, 311, 470 on our page.

3. How to find GCD of 294, 129, 311, 470 on a calculator?

You can find the GCD of 294, 129, 311, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.