GCD of 444, 279, 687, 291 Calculator

Given Input numbers are 444, 279, 687, 291

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

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Greatest Common Divisior

We found the divisors of 444, 279, 687, 291 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 444, 279, 687, 291 is 3.

Therefore, GCD of numbers 444, 279, 687, 291 is 3

Given Input Data is 444, 279, 687, 291

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

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 687 is 3 x 229

Prime Factorization of 291 is 3 x 97

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(444, 279) = 41292

GCD(444, 279) = ( 444 x 279 ) / 41292

GCD(444, 279) = 123876 / 41292

GCD(444, 279) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 687

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

LCM(3, 687) = 687

GCD(3, 687) = ( 3 x 687 ) / 687

GCD(3, 687) = 2061 / 687

GCD(3, 687) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 291

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

LCM(3, 291) = 291

GCD(3, 291) = ( 3 x 291 ) / 291

GCD(3, 291) = 873 / 291

GCD(3, 291) = 3

GCD of 444, 279, 687, 291 is 3

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• GCD of 439, 132, 284, 175
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• GCD of 559, 602, 992, 894

1. What is the GCD of 444, 279, 687, 291?

GCD of 444, 279, 687, 291 is 3

2. Where do I get the detailed procedure to find GCD of 444, 279, 687, 291?

You can find a detailed procedure to find GCD of 444, 279, 687, 291 on our page.

3. How to find GCD of 444, 279, 687, 291 on a calculator?

You can find the GCD of 444, 279, 687, 291 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.