GCD of 438, 707, 279, 576 Calculator

Given Input numbers are 438, 707, 279, 576

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

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 279

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

1, 3, 9, 31, 93, 279

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Greatest Common Divisior

We found the divisors of 438, 707, 279, 576 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 707, 279, 576 is 1.

Therefore, GCD of numbers 438, 707, 279, 576 is 1

Given Input Data is 438, 707, 279, 576

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

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 707 is 7 x 101

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 576 is 2 x 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(438, 707) = 309666

GCD(438, 707) = ( 438 x 707 ) / 309666

GCD(438, 707) = 309666 / 309666

GCD(438, 707) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 279

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

LCM(1, 279) = 279

GCD(1, 279) = ( 1 x 279 ) / 279

GCD(1, 279) = 279 / 279

GCD(1, 279) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 576

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

LCM(1, 576) = 576

GCD(1, 576) = ( 1 x 576 ) / 576

GCD(1, 576) = 576 / 576

GCD(1, 576) = 1

GCD of 438, 707, 279, 576 is 1

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1. What is the GCD of 438, 707, 279, 576?

GCD of 438, 707, 279, 576 is 1

2. Where do I get the detailed procedure to find GCD of 438, 707, 279, 576?

You can find a detailed procedure to find GCD of 438, 707, 279, 576 on our page.

3. How to find GCD of 438, 707, 279, 576 on a calculator?

You can find the GCD of 438, 707, 279, 576 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.