GCD of 587, 288, 341, 438 Calculator

Given Input numbers are 587, 288, 341, 438

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

Divisors of 587

List of positive integer divisors of 587 that divides 587 without a remainder.

1, 587

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 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Divisors of 438

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

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

Greatest Common Divisior

We found the divisors of 587, 288, 341, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 587, 288, 341, 438 is 1.

Therefore, GCD of numbers 587, 288, 341, 438 is 1

Given Input Data is 587, 288, 341, 438

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

Prime Factorization of 587 is 587

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

Prime Factorization of 341 is 11 x 31

Prime Factorization of 438 is 2 x 3 x 73

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(587, 288) = 169056

GCD(587, 288) = ( 587 x 288 ) / 169056

GCD(587, 288) = 169056 / 169056

GCD(587, 288) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 341

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

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

GCD(1, 341) = 341 / 341

GCD(1, 341) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 438

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

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

GCD(1, 438) = 438 / 438

GCD(1, 438) = 1

GCD of 587, 288, 341, 438 is 1

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1. What is the GCD of 587, 288, 341, 438?

GCD of 587, 288, 341, 438 is 1

2. Where do I get the detailed procedure to find GCD of 587, 288, 341, 438?

You can find a detailed procedure to find GCD of 587, 288, 341, 438 on our page.

3. How to find GCD of 587, 288, 341, 438 on a calculator?

You can find the GCD of 587, 288, 341, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.