GCD of 288, 502, 58, 423 Calculator

Given Input numbers are 288, 502, 58, 423

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

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 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Greatest Common Divisior

We found the divisors of 288, 502, 58, 423 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 502, 58, 423 is 1.

Therefore, GCD of numbers 288, 502, 58, 423 is 1

Given Input Data is 288, 502, 58, 423

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

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

Prime Factorization of 502 is 2 x 251

Prime Factorization of 58 is 2 x 29

Prime Factorization of 423 is 3 x 3 x 47

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(288, 502) = 72288

GCD(288, 502) = ( 288 x 502 ) / 72288

GCD(288, 502) = 144576 / 72288

GCD(288, 502) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 58

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

LCM(2, 58) = 58

GCD(2, 58) = ( 2 x 58 ) / 58

GCD(2, 58) = 116 / 58

GCD(2, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 423

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

LCM(2, 423) = 846

GCD(2, 423) = ( 2 x 423 ) / 846

GCD(2, 423) = 846 / 846

GCD(2, 423) = 1

GCD of 288, 502, 58, 423 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 165, 370, 44, 526
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• GCD of 694, 140, 75, 941
• GCD of 310, 896, 24, 935

1. What is the GCD of 288, 502, 58, 423?

GCD of 288, 502, 58, 423 is 1

2. Where do I get the detailed procedure to find GCD of 288, 502, 58, 423?

You can find a detailed procedure to find GCD of 288, 502, 58, 423 on our page.

3. How to find GCD of 288, 502, 58, 423 on a calculator?

You can find the GCD of 288, 502, 58, 423 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.