GCD of 319, 475, 828, 288 Calculator

Given Input numbers are 319, 475, 828, 288

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

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Greatest Common Divisior

We found the divisors of 319, 475, 828, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 319, 475, 828, 288 is 1.

Therefore, GCD of numbers 319, 475, 828, 288 is 1

Given Input Data is 319, 475, 828, 288

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

Prime Factorization of 319 is 11 x 29

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

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(319, 475) = 151525

GCD(319, 475) = ( 319 x 475 ) / 151525

GCD(319, 475) = 151525 / 151525

GCD(319, 475) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 288

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

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

GCD(1, 288) = 288 / 288

GCD(1, 288) = 1

GCD of 319, 475, 828, 288 is 1

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1. What is the GCD of 319, 475, 828, 288?

GCD of 319, 475, 828, 288 is 1

2. Where do I get the detailed procedure to find GCD of 319, 475, 828, 288?

You can find a detailed procedure to find GCD of 319, 475, 828, 288 on our page.

3. How to find GCD of 319, 475, 828, 288 on a calculator?

You can find the GCD of 319, 475, 828, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.