GCD of 588, 608, 58, 235 Calculator

Given Input numbers are 588, 608, 58, 235

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

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 58

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

1, 2, 29, 58

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Greatest Common Divisior

We found the divisors of 588, 608, 58, 235 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 608, 58, 235 is 1.

Therefore, GCD of numbers 588, 608, 58, 235 is 1

Given Input Data is 588, 608, 58, 235

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

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 58 is 2 x 29

Prime Factorization of 235 is 5 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(588, 608) = 89376

GCD(588, 608) = ( 588 x 608 ) / 89376

GCD(588, 608) = 357504 / 89376

GCD(588, 608) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 58

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

LCM(4, 58) = 116

GCD(4, 58) = ( 4 x 58 ) / 116

GCD(4, 58) = 232 / 116

GCD(4, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 235

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

LCM(2, 235) = 470

GCD(2, 235) = ( 2 x 235 ) / 470

GCD(2, 235) = 470 / 470

GCD(2, 235) = 1

GCD of 588, 608, 58, 235 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 572, 514, 90, 669
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• GCD of 924, 585, 20, 705

1. What is the GCD of 588, 608, 58, 235?

GCD of 588, 608, 58, 235 is 1

2. Where do I get the detailed procedure to find GCD of 588, 608, 58, 235?

You can find a detailed procedure to find GCD of 588, 608, 58, 235 on our page.

3. How to find GCD of 588, 608, 58, 235 on a calculator?

You can find the GCD of 588, 608, 58, 235 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.