GCD of 58, 298, 428, 288 Calculator

Given Input numbers are 58, 298, 428, 288

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

Divisors of 58

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

1, 2, 29, 58

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

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

Greatest Common Divisior

We found the divisors of 58, 298, 428, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 298, 428, 288 is 2.

Therefore, GCD of numbers 58, 298, 428, 288 is 2

Given Input Data is 58, 298, 428, 288

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 298 is 2 x 149

Prime Factorization of 428 is 2 x 2 x 107

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(58, 298) = 8642

GCD(58, 298) = ( 58 x 298 ) / 8642

GCD(58, 298) = 17284 / 8642

GCD(58, 298) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 428

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

LCM(2, 428) = 428

GCD(2, 428) = ( 2 x 428 ) / 428

GCD(2, 428) = 856 / 428

GCD(2, 428) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 288

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

LCM(2, 288) = 288

GCD(2, 288) = ( 2 x 288 ) / 288

GCD(2, 288) = 576 / 288

GCD(2, 288) = 2

GCD of 58, 298, 428, 288 is 2

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1. What is the GCD of 58, 298, 428, 288?

GCD of 58, 298, 428, 288 is 2

2. Where do I get the detailed procedure to find GCD of 58, 298, 428, 288?

You can find a detailed procedure to find GCD of 58, 298, 428, 288 on our page.

3. How to find GCD of 58, 298, 428, 288 on a calculator?

You can find the GCD of 58, 298, 428, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.