GCD of 309, 886, 288, 664 Calculator

Given Input numbers are 309, 886, 288, 664

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

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

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

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Greatest Common Divisior

We found the divisors of 309, 886, 288, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 886, 288, 664 is 1.

Therefore, GCD of numbers 309, 886, 288, 664 is 1

Given Input Data is 309, 886, 288, 664

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 886 is 2 x 443

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

Prime Factorization of 664 is 2 x 2 x 2 x 83

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(309, 886) = 273774

GCD(309, 886) = ( 309 x 886 ) / 273774

GCD(309, 886) = 273774 / 273774

GCD(309, 886) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 664

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

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

GCD(1, 664) = 664 / 664

GCD(1, 664) = 1

GCD of 309, 886, 288, 664 is 1

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1. What is the GCD of 309, 886, 288, 664?

GCD of 309, 886, 288, 664 is 1

2. Where do I get the detailed procedure to find GCD of 309, 886, 288, 664?

You can find a detailed procedure to find GCD of 309, 886, 288, 664 on our page.

3. How to find GCD of 309, 886, 288, 664 on a calculator?

You can find the GCD of 309, 886, 288, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.