GCD of 588, 796, 21, 908 Calculator

Given Input numbers are 588, 796, 21, 908

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 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Greatest Common Divisior

We found the divisors of 588, 796, 21, 908 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 796, 21, 908 is 1.

Therefore, GCD of numbers 588, 796, 21, 908 is 1

Given Input Data is 588, 796, 21, 908

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 796 is 2 x 2 x 199

Prime Factorization of 21 is 3 x 7

Prime Factorization of 908 is 2 x 2 x 227

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, 796) = 117012

GCD(588, 796) = ( 588 x 796 ) / 117012

GCD(588, 796) = 468048 / 117012

GCD(588, 796) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 21

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

LCM(4, 21) = 84

GCD(4, 21) = ( 4 x 21 ) / 84

GCD(4, 21) = 84 / 84

GCD(4, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 908

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

LCM(1, 908) = 908

GCD(1, 908) = ( 1 x 908 ) / 908

GCD(1, 908) = 908 / 908

GCD(1, 908) = 1

GCD of 588, 796, 21, 908 is 1

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1. What is the GCD of 588, 796, 21, 908?

GCD of 588, 796, 21, 908 is 1

2. Where do I get the detailed procedure to find GCD of 588, 796, 21, 908?

You can find a detailed procedure to find GCD of 588, 796, 21, 908 on our page.

3. How to find GCD of 588, 796, 21, 908 on a calculator?

You can find the GCD of 588, 796, 21, 908 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.