GCD of 588, 429, 47, 297 Calculator

Given Input numbers are 588, 429, 47, 297

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

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Greatest Common Divisior

We found the divisors of 588, 429, 47, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 429, 47, 297 is 1.

Therefore, GCD of numbers 588, 429, 47, 297 is 1

Given Input Data is 588, 429, 47, 297

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

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 47 is 47

Prime Factorization of 297 is 3 x 3 x 3 x 11

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(588, 429) = 84084

GCD(588, 429) = ( 588 x 429 ) / 84084

GCD(588, 429) = 252252 / 84084

GCD(588, 429) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 47

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

LCM(3, 47) = 141

GCD(3, 47) = ( 3 x 47 ) / 141

GCD(3, 47) = 141 / 141

GCD(3, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 297

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

LCM(1, 297) = 297

GCD(1, 297) = ( 1 x 297 ) / 297

GCD(1, 297) = 297 / 297

GCD(1, 297) = 1

GCD of 588, 429, 47, 297 is 1

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• GCD of 664, 705, 83, 393
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1. What is the GCD of 588, 429, 47, 297?

GCD of 588, 429, 47, 297 is 1

2. Where do I get the detailed procedure to find GCD of 588, 429, 47, 297?

You can find a detailed procedure to find GCD of 588, 429, 47, 297 on our page.

3. How to find GCD of 588, 429, 47, 297 on a calculator?

You can find the GCD of 588, 429, 47, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.